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Finding the Fourth Proportional to 7,870.38, 10,867.38 and 6,098.90

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Solution

The fourth proportional to 7,870.38, 10,867.38 and 6,098.90 is: 8,421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.38 : 10,867.38 = 6,098.90 : x
  2. Step 2: Convert to fraction form
    7,870.38/10,867.38 = 6,098.90/x
  3. Step 3: Cross multiply
    7,870.38x = 10,867.38 × 6,098.90
  4. Step 4: Simplify right side
    7,870.38x = 66,279,063.88
  5. Step 5: Solve for x
    x = 66,279,063.88/7,870.38
  6. Step 6: Final answer
    x = 8,421.33

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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.