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Finding the Fourth Proportional to 6,812.71, 9,403.19 and 4,160.97

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Solution

The fourth proportional to 6,812.71, 9,403.19 and 4,160.97 is: 5,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.71 : 9,403.19 = 4,160.97 : x
  2. Step 2: Convert to fraction form
    6,812.71/9,403.19 = 4,160.97/x
  3. Step 3: Cross multiply
    6,812.71x = 9,403.19 × 4,160.97
  4. Step 4: Simplify right side
    6,812.71x = 39,126,386.29
  5. Step 5: Solve for x
    x = 39,126,386.29/6,812.71
  6. Step 6: Final answer
    x = 5,743.15

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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.