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Finding the Fourth Proportional to 9,609.92, 14,414.80 and 6,495.20

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Solution

The fourth proportional to 9,609.92, 14,414.80 and 6,495.20 is: 9,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.92 : 14,414.80 = 6,495.20 : x
  2. Step 2: Convert to fraction form
    9,609.92/14,414.80 = 6,495.20/x
  3. Step 3: Cross multiply
    9,609.92x = 14,414.80 × 6,495.20
  4. Step 4: Simplify right side
    9,609.92x = 93,627,008.96
  5. Step 5: Solve for x
    x = 93,627,008.96/9,609.92
  6. Step 6: Final answer
    x = 9,742.75

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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.