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Finding the Fourth Proportional to 6,624.72, 9,888.42 and 6,144

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Solution

The fourth proportional to 6,624.72, 9,888.42 and 6,144 is: 9,170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.72 : 9,888.42 = 6,144 : x
  2. Step 2: Convert to fraction form
    6,624.72/9,888.42 = 6,144/x
  3. Step 3: Cross multiply
    6,624.72x = 9,888.42 × 6,144
  4. Step 4: Simplify right side
    6,624.72x = 60,754,452.48
  5. Step 5: Solve for x
    x = 60,754,452.48/6,624.72
  6. Step 6: Final answer
    x = 9,170.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.