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Finding the Fourth Proportional to 6,502.85, 9,754.25 and 1,572.48

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Solution

The fourth proportional to 6,502.85, 9,754.25 and 1,572.48 is: 2,358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.85 : 9,754.25 = 1,572.48 : x
  2. Step 2: Convert to fraction form
    6,502.85/9,754.25 = 1,572.48/x
  3. Step 3: Cross multiply
    6,502.85x = 9,754.25 × 1,572.48
  4. Step 4: Simplify right side
    6,502.85x = 15,338,355.18
  5. Step 5: Solve for x
    x = 15,338,355.18/6,502.85
  6. Step 6: Final answer
    x = 2,358.71

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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.