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Finding the Fourth Proportional to 6,701.71, 9,248.78 and 3,869.60

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Solution

The fourth proportional to 6,701.71, 9,248.78 and 3,869.60 is: 5,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.71 : 9,248.78 = 3,869.60 : x
  2. Step 2: Convert to fraction form
    6,701.71/9,248.78 = 3,869.60/x
  3. Step 3: Cross multiply
    6,701.71x = 9,248.78 × 3,869.60
  4. Step 4: Simplify right side
    6,701.71x = 35,789,079.09
  5. Step 5: Solve for x
    x = 35,789,079.09/6,701.71
  6. Step 6: Final answer
    x = 5,340.29

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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.