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Finding the Fourth Proportional to 6,543.68, 9,801.14 and 6,031.56

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Solution

The fourth proportional to 6,543.68, 9,801.14 and 6,031.56 is: 9,034.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.68 : 9,801.14 = 6,031.56 : x
  2. Step 2: Convert to fraction form
    6,543.68/9,801.14 = 6,031.56/x
  3. Step 3: Cross multiply
    6,543.68x = 9,801.14 × 6,031.56
  4. Step 4: Simplify right side
    6,543.68x = 59,116,163.98
  5. Step 5: Solve for x
    x = 59,116,163.98/6,543.68
  6. Step 6: Final answer
    x = 9,034.09

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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.