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Finding the Fourth Proportional to 13,734, 20,599.97 and 4,373.64

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Solution

The fourth proportional to 13,734, 20,599.97 and 4,373.64 is: 6,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734 : 20,599.97 = 4,373.64 : x
  2. Step 2: Convert to fraction form
    13,734/20,599.97 = 4,373.64/x
  3. Step 3: Cross multiply
    13,734x = 20,599.97 × 4,373.64
  4. Step 4: Simplify right side
    13,734x = 90,096,830.92
  5. Step 5: Solve for x
    x = 90,096,830.92/13,734
  6. Step 6: Final answer
    x = 6,560.13

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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.