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Finding the Fourth Proportional to 5,721.54, 7,893.09 and 4,460.46

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Solution

The fourth proportional to 5,721.54, 7,893.09 and 4,460.46 is: 6,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.54 : 7,893.09 = 4,460.46 : x
  2. Step 2: Convert to fraction form
    5,721.54/7,893.09 = 4,460.46/x
  3. Step 3: Cross multiply
    5,721.54x = 7,893.09 × 4,460.46
  4. Step 4: Simplify right side
    5,721.54x = 35,206,812.22
  5. Step 5: Solve for x
    x = 35,206,812.22/5,721.54
  6. Step 6: Final answer
    x = 6,153.38

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.