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Finding the Fourth Proportional to 6,695.50, 9,239.78 and 4,042.38

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Solution

The fourth proportional to 6,695.50, 9,239.78 and 4,042.38 is: 5,578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.50 : 9,239.78 = 4,042.38 : x
  2. Step 2: Convert to fraction form
    6,695.50/9,239.78 = 4,042.38/x
  3. Step 3: Cross multiply
    6,695.50x = 9,239.78 × 4,042.38
  4. Step 4: Simplify right side
    6,695.50x = 37,350,701.88
  5. Step 5: Solve for x
    x = 37,350,701.88/6,695.50
  6. Step 6: Final answer
    x = 5,578.48

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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.