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Finding the Fourth Proportional to 6,498.67, 9,764.10 and 4,159.74

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Solution

The fourth proportional to 6,498.67, 9,764.10 and 4,159.74 is: 6,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.67 : 9,764.10 = 4,159.74 : x
  2. Step 2: Convert to fraction form
    6,498.67/9,764.10 = 4,159.74/x
  3. Step 3: Cross multiply
    6,498.67x = 9,764.10 × 4,159.74
  4. Step 4: Simplify right side
    6,498.67x = 40,616,117.33
  5. Step 5: Solve for x
    x = 40,616,117.33/6,498.67
  6. Step 6: Final answer
    x = 6,249.91

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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.