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Finding the Fourth Proportional to 6,689.62, 10,034.38 and 5,230

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Solution

The fourth proportional to 6,689.62, 10,034.38 and 5,230 is: 7,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.62 : 10,034.38 = 5,230 : x
  2. Step 2: Convert to fraction form
    6,689.62/10,034.38 = 5,230/x
  3. Step 3: Cross multiply
    6,689.62x = 10,034.38 × 5,230
  4. Step 4: Simplify right side
    6,689.62x = 52,479,807.40
  5. Step 5: Solve for x
    x = 52,479,807.40/6,689.62
  6. Step 6: Final answer
    x = 7,844.96

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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.