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Finding the Fourth Proportional to 6,689.71, 10,033.75 and 2,306.80

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Solution

The fourth proportional to 6,689.71, 10,033.75 and 2,306.80 is: 3,459.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.71 : 10,033.75 = 2,306.80 : x
  2. Step 2: Convert to fraction form
    6,689.71/10,033.75 = 2,306.80/x
  3. Step 3: Cross multiply
    6,689.71x = 10,033.75 × 2,306.80
  4. Step 4: Simplify right side
    6,689.71x = 23,145,854.50
  5. Step 5: Solve for x
    x = 23,145,854.50/6,689.71
  6. Step 6: Final answer
    x = 3,459.92

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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.