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Finding the Fourth Proportional to 15,024.78, 20,734.14 and 8,400.78

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Solution

The fourth proportional to 15,024.78, 20,734.14 and 8,400.78 is: 11,593.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,024.78 : 20,734.14 = 8,400.78 : x
  2. Step 2: Convert to fraction form
    15,024.78/20,734.14 = 8,400.78/x
  3. Step 3: Cross multiply
    15,024.78x = 20,734.14 × 8,400.78
  4. Step 4: Simplify right side
    15,024.78x = 174,182,948.63
  5. Step 5: Solve for x
    x = 174,182,948.63/15,024.78
  6. Step 6: Final answer
    x = 11,593.04

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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.