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Finding the Fourth Proportional to 6,498.01, 9,747.60 and 1,818.07

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Solution

The fourth proportional to 6,498.01, 9,747.60 and 1,818.07 is: 2,727.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.01 : 9,747.60 = 1,818.07 : x
  2. Step 2: Convert to fraction form
    6,498.01/9,747.60 = 1,818.07/x
  3. Step 3: Cross multiply
    6,498.01x = 9,747.60 × 1,818.07
  4. Step 4: Simplify right side
    6,498.01x = 17,721,819.13
  5. Step 5: Solve for x
    x = 17,721,819.13/6,498.01
  6. Step 6: Final answer
    x = 2,727.27

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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.