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Finding the Fourth Proportional to 6,624.32, 9,132.62 and 5,676

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Solution

The fourth proportional to 6,624.32, 9,132.62 and 5,676 is: 7,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.32 : 9,132.62 = 5,676 : x
  2. Step 2: Convert to fraction form
    6,624.32/9,132.62 = 5,676/x
  3. Step 3: Cross multiply
    6,624.32x = 9,132.62 × 5,676
  4. Step 4: Simplify right side
    6,624.32x = 51,836,722.74
  5. Step 5: Solve for x
    x = 51,836,722.74/6,624.32
  6. Step 6: Final answer
    x = 7,825.22

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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.