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Finding the Fourth Proportional to 7,151.38, 9,865.40 and 6,205.85

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Solution

The fourth proportional to 7,151.38, 9,865.40 and 6,205.85 is: 8,561.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.38 : 9,865.40 = 6,205.85 : x
  2. Step 2: Convert to fraction form
    7,151.38/9,865.40 = 6,205.85/x
  3. Step 3: Cross multiply
    7,151.38x = 9,865.40 × 6,205.85
  4. Step 4: Simplify right side
    7,151.38x = 61,223,171.46
  5. Step 5: Solve for x
    x = 61,223,171.46/7,151.38
  6. Step 6: Final answer
    x = 8,561.03

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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.