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Finding the Fourth Proportional to 6,502.45, 9,753.95 and 5,414.49

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Solution

The fourth proportional to 6,502.45, 9,753.95 and 5,414.49 is: 8,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.45 : 9,753.95 = 5,414.49 : x
  2. Step 2: Convert to fraction form
    6,502.45/9,753.95 = 5,414.49/x
  3. Step 3: Cross multiply
    6,502.45x = 9,753.95 × 5,414.49
  4. Step 4: Simplify right side
    6,502.45x = 52,812,664.74
  5. Step 5: Solve for x
    x = 52,812,664.74/6,502.45
  6. Step 6: Final answer
    x = 8,121.96

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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.