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Finding the Fourth Proportional to 6,375.13, 9,498.62 and 6,017.02

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Solution

The fourth proportional to 6,375.13, 9,498.62 and 6,017.02 is: 8,965.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.13 : 9,498.62 = 6,017.02 : x
  2. Step 2: Convert to fraction form
    6,375.13/9,498.62 = 6,017.02/x
  3. Step 3: Cross multiply
    6,375.13x = 9,498.62 × 6,017.02
  4. Step 4: Simplify right side
    6,375.13x = 57,153,414.32
  5. Step 5: Solve for x
    x = 57,153,414.32/6,375.13
  6. Step 6: Final answer
    x = 8,965.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.