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Finding the Fourth Proportional to 6,542.65, 9,812.50 and 1,862.55

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Solution

The fourth proportional to 6,542.65, 9,812.50 and 1,862.55 is: 2,793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.65 : 9,812.50 = 1,862.55 : x
  2. Step 2: Convert to fraction form
    6,542.65/9,812.50 = 1,862.55/x
  3. Step 3: Cross multiply
    6,542.65x = 9,812.50 × 1,862.55
  4. Step 4: Simplify right side
    6,542.65x = 18,276,304.02
  5. Step 5: Solve for x
    x = 18,276,304.02/6,542.65
  6. Step 6: Final answer
    x = 2,793.41

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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.