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Finding the Fourth Proportional to 6,502.96, 9,752.28 and 5,414.32

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Solution

The fourth proportional to 6,502.96, 9,752.28 and 5,414.32 is: 8,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.96 : 9,752.28 = 5,414.32 : x
  2. Step 2: Convert to fraction form
    6,502.96/9,752.28 = 5,414.32/x
  3. Step 3: Cross multiply
    6,502.96x = 9,752.28 × 5,414.32
  4. Step 4: Simplify right side
    6,502.96x = 52,801,964.65
  5. Step 5: Solve for x
    x = 52,801,964.65/6,502.96
  6. Step 6: Final answer
    x = 8,119.68

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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.