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Finding the Fourth Proportional to 10,253.56, 15,354.96 and 8,409.28

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Solution

The fourth proportional to 10,253.56, 15,354.96 and 8,409.28 is: 12,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.56 : 15,354.96 = 8,409.28 : x
  2. Step 2: Convert to fraction form
    10,253.56/15,354.96 = 8,409.28/x
  3. Step 3: Cross multiply
    10,253.56x = 15,354.96 × 8,409.28
  4. Step 4: Simplify right side
    10,253.56x = 129,124,158.03
  5. Step 5: Solve for x
    x = 129,124,158.03/10,253.56
  6. Step 6: Final answer
    x = 12,593.11

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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.