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Finding the Fourth Proportional to 22,760, 34,140.40 and 6,344

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Solution

The fourth proportional to 22,760, 34,140.40 and 6,344 is: 9,516.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,760 : 34,140.40 = 6,344 : x
  2. Step 2: Convert to fraction form
    22,760/34,140.40 = 6,344/x
  3. Step 3: Cross multiply
    22,760x = 34,140.40 × 6,344
  4. Step 4: Simplify right side
    22,760x = 216,586,697.60
  5. Step 5: Solve for x
    x = 216,586,697.60/22,760
  6. Step 6: Final answer
    x = 9,516.11

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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.