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Finding the Fourth Proportional to 6,502.47, 9,753.36 and 2,059.89

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Solution

The fourth proportional to 6,502.47, 9,753.36 and 2,059.89 is: 3,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.47 : 9,753.36 = 2,059.89 : x
  2. Step 2: Convert to fraction form
    6,502.47/9,753.36 = 2,059.89/x
  3. Step 3: Cross multiply
    6,502.47x = 9,753.36 × 2,059.89
  4. Step 4: Simplify right side
    6,502.47x = 20,090,848.73
  5. Step 5: Solve for x
    x = 20,090,848.73/6,502.47
  6. Step 6: Final answer
    x = 3,089.73

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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.