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Finding the Fourth Proportional to 6,167.76, 9,244.80 and 4,702.08

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Solution

The fourth proportional to 6,167.76, 9,244.80 and 4,702.08 is: 7,047.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.76 : 9,244.80 = 4,702.08 : x
  2. Step 2: Convert to fraction form
    6,167.76/9,244.80 = 4,702.08/x
  3. Step 3: Cross multiply
    6,167.76x = 9,244.80 × 4,702.08
  4. Step 4: Simplify right side
    6,167.76x = 43,469,789.18
  5. Step 5: Solve for x
    x = 43,469,789.18/6,167.76
  6. Step 6: Final answer
    x = 7,047.91

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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.