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Finding the Fourth Proportional to 7,812.50, 10,781.50 and 4,275.71

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Solution

The fourth proportional to 7,812.50, 10,781.50 and 4,275.71 is: 5,900.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.50 : 10,781.50 = 4,275.71 : x
  2. Step 2: Convert to fraction form
    7,812.50/10,781.50 = 4,275.71/x
  3. Step 3: Cross multiply
    7,812.50x = 10,781.50 × 4,275.71
  4. Step 4: Simplify right side
    7,812.50x = 46,098,502.77
  5. Step 5: Solve for x
    x = 46,098,502.77/7,812.50
  6. Step 6: Final answer
    x = 5,900.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.