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Finding the Fourth Proportional to 6,561, 9,842.02 and 5,003.48

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Solution

The fourth proportional to 6,561, 9,842.02 and 5,003.48 is: 7,505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561 : 9,842.02 = 5,003.48 : x
  2. Step 2: Convert to fraction form
    6,561/9,842.02 = 5,003.48/x
  3. Step 3: Cross multiply
    6,561x = 9,842.02 × 5,003.48
  4. Step 4: Simplify right side
    6,561x = 49,244,350.23
  5. Step 5: Solve for x
    x = 49,244,350.23/6,561
  6. Step 6: Final answer
    x = 7,505.62

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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.