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Finding the Fourth Proportional to 6,575.46, 9,864 and 2,679.36

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Solution

The fourth proportional to 6,575.46, 9,864 and 2,679.36 is: 4,019.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.46 : 9,864 = 2,679.36 : x
  2. Step 2: Convert to fraction form
    6,575.46/9,864 = 2,679.36/x
  3. Step 3: Cross multiply
    6,575.46x = 9,864 × 2,679.36
  4. Step 4: Simplify right side
    6,575.46x = 26,429,207.04
  5. Step 5: Solve for x
    x = 26,429,207.04/6,575.46
  6. Step 6: Final answer
    x = 4,019.37

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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.