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Finding the Fourth Proportional to 23,573.74, 35,338.74 and 7,980.46

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Solution

The fourth proportional to 23,573.74, 35,338.74 and 7,980.46 is: 11,963.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,573.74 : 35,338.74 = 7,980.46 : x
  2. Step 2: Convert to fraction form
    23,573.74/35,338.74 = 7,980.46/x
  3. Step 3: Cross multiply
    23,573.74x = 35,338.74 × 7,980.46
  4. Step 4: Simplify right side
    23,573.74x = 282,019,401.02
  5. Step 5: Solve for x
    x = 282,019,401.02/23,573.74
  6. Step 6: Final answer
    x = 11,963.29

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.