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Finding the Fourth Proportional to 6,678.32, 9,215.37 and 3,693.68

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Solution

The fourth proportional to 6,678.32, 9,215.37 and 3,693.68 is: 5,096.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.32 : 9,215.37 = 3,693.68 : x
  2. Step 2: Convert to fraction form
    6,678.32/9,215.37 = 3,693.68/x
  3. Step 3: Cross multiply
    6,678.32x = 9,215.37 × 3,693.68
  4. Step 4: Simplify right side
    6,678.32x = 34,038,581.78
  5. Step 5: Solve for x
    x = 34,038,581.78/6,678.32
  6. Step 6: Final answer
    x = 5,096.88

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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.