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Finding the Fourth Proportional to 7,754.38, 10,702.14 and 4,398.02

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Solution

The fourth proportional to 7,754.38, 10,702.14 and 4,398.02 is: 6,069.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.38 : 10,702.14 = 4,398.02 : x
  2. Step 2: Convert to fraction form
    7,754.38/10,702.14 = 4,398.02/x
  3. Step 3: Cross multiply
    7,754.38x = 10,702.14 × 4,398.02
  4. Step 4: Simplify right side
    7,754.38x = 47,068,195.89
  5. Step 5: Solve for x
    x = 47,068,195.89/7,754.38
  6. Step 6: Final answer
    x = 6,069.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.