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Finding the Fourth Proportional to 6,502.57, 9,753.85 and 5,212.24

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Solution

The fourth proportional to 6,502.57, 9,753.85 and 5,212.24 is: 7,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.57 : 9,753.85 = 5,212.24 : x
  2. Step 2: Convert to fraction form
    6,502.57/9,753.85 = 5,212.24/x
  3. Step 3: Cross multiply
    6,502.57x = 9,753.85 × 5,212.24
  4. Step 4: Simplify right side
    6,502.57x = 50,839,389.25
  5. Step 5: Solve for x
    x = 50,839,389.25/6,502.57
  6. Step 6: Final answer
    x = 7,818.36

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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.