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Finding the Fourth Proportional to 6,498.67, 9,764.10 and 4,159.72

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Solution

The fourth proportional to 6,498.67, 9,764.10 and 4,159.72 is: 6,249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.67 : 9,764.10 = 4,159.72 : x
  2. Step 2: Convert to fraction form
    6,498.67/9,764.10 = 4,159.72/x
  3. Step 3: Cross multiply
    6,498.67x = 9,764.10 × 4,159.72
  4. Step 4: Simplify right side
    6,498.67x = 40,615,922.05
  5. Step 5: Solve for x
    x = 40,615,922.05/6,498.67
  6. Step 6: Final answer
    x = 6,249.88

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1.5x scale

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.