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Finding the Fourth Proportional to 6,494.88, 9,746.49 and 6,442.03

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Solution

The fourth proportional to 6,494.88, 9,746.49 and 6,442.03 is: 9,667.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.88 : 9,746.49 = 6,442.03 : x
  2. Step 2: Convert to fraction form
    6,494.88/9,746.49 = 6,442.03/x
  3. Step 3: Cross multiply
    6,494.88x = 9,746.49 × 6,442.03
  4. Step 4: Simplify right side
    6,494.88x = 62,787,217.32
  5. Step 5: Solve for x
    x = 62,787,217.32/6,494.88
  6. Step 6: Final answer
    x = 9,667.18

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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.