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Finding the Fourth Proportional to 17,158.64, 25,737.32 and 6,214.64

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Solution

The fourth proportional to 17,158.64, 25,737.32 and 6,214.64 is: 9,321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,158.64 : 25,737.32 = 6,214.64 : x
  2. Step 2: Convert to fraction form
    17,158.64/25,737.32 = 6,214.64/x
  3. Step 3: Cross multiply
    17,158.64x = 25,737.32 × 6,214.64
  4. Step 4: Simplify right side
    17,158.64x = 159,948,178.36
  5. Step 5: Solve for x
    x = 159,948,178.36/17,158.64
  6. Step 6: Final answer
    x = 9,321.73

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1.5x scale

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.