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Finding the Fourth Proportional to 7,812.72, 10,781.78 and 4,275.86

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Solution

The fourth proportional to 7,812.72, 10,781.78 and 4,275.86 is: 5,900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.72 : 10,781.78 = 4,275.86 : x
  2. Step 2: Convert to fraction form
    7,812.72/10,781.78 = 4,275.86/x
  3. Step 3: Cross multiply
    7,812.72x = 10,781.78 × 4,275.86
  4. Step 4: Simplify right side
    7,812.72x = 46,101,306.54
  5. Step 5: Solve for x
    x = 46,101,306.54/7,812.72
  6. Step 6: Final answer
    x = 5,900.80

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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.