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Finding the Fourth Proportional to 6,332.71, 9,502.71 and 2,437.42

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Solution

The fourth proportional to 6,332.71, 9,502.71 and 2,437.42 is: 3,657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.71 : 9,502.71 = 2,437.42 : x
  2. Step 2: Convert to fraction form
    6,332.71/9,502.71 = 2,437.42/x
  3. Step 3: Cross multiply
    6,332.71x = 9,502.71 × 2,437.42
  4. Step 4: Simplify right side
    6,332.71x = 23,162,095.41
  5. Step 5: Solve for x
    x = 23,162,095.41/6,332.71
  6. Step 6: Final answer
    x = 3,657.53

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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.