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Finding the Fourth Proportional to 6,624.32, 9,141.39 and 3,599.30

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Solution

The fourth proportional to 6,624.32, 9,141.39 and 3,599.30 is: 4,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.32 : 9,141.39 = 3,599.30 : x
  2. Step 2: Convert to fraction form
    6,624.32/9,141.39 = 3,599.30/x
  3. Step 3: Cross multiply
    6,624.32x = 9,141.39 × 3,599.30
  4. Step 4: Simplify right side
    6,624.32x = 32,902,627.88
  5. Step 5: Solve for x
    x = 32,902,627.88/6,624.32
  6. Step 6: Final answer
    x = 4,966.95

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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.