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Finding the Fourth Proportional to 6,402.40, 9,609.12 and 2,507.92

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Solution

The fourth proportional to 6,402.40, 9,609.12 and 2,507.92 is: 3,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.40 : 9,609.12 = 2,507.92 : x
  2. Step 2: Convert to fraction form
    6,402.40/9,609.12 = 2,507.92/x
  3. Step 3: Cross multiply
    6,402.40x = 9,609.12 × 2,507.92
  4. Step 4: Simplify right side
    6,402.40x = 24,098,904.23
  5. Step 5: Solve for x
    x = 24,098,904.23/6,402.40
  6. Step 6: Final answer
    x = 3,764.04

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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.