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Finding the Fourth Proportional to 23,778.54, 35,664.84 and 7,983

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Solution

The fourth proportional to 23,778.54, 35,664.84 and 7,983 is: 11,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778.54 : 35,664.84 = 7,983 : x
  2. Step 2: Convert to fraction form
    23,778.54/35,664.84 = 7,983/x
  3. Step 3: Cross multiply
    23,778.54x = 35,664.84 × 7,983
  4. Step 4: Simplify right side
    23,778.54x = 284,712,417.72
  5. Step 5: Solve for x
    x = 284,712,417.72/23,778.54
  6. Step 6: Final answer
    x = 11,973.50

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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.