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Finding the Fourth Proportional to 15,838.71, 23,737.47 and 6,467.73

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Solution

The fourth proportional to 15,838.71, 23,737.47 and 6,467.73 is: 9,693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.71 : 23,737.47 = 6,467.73 : x
  2. Step 2: Convert to fraction form
    15,838.71/23,737.47 = 6,467.73/x
  3. Step 3: Cross multiply
    15,838.71x = 23,737.47 × 6,467.73
  4. Step 4: Simplify right side
    15,838.71x = 153,527,546.84
  5. Step 5: Solve for x
    x = 153,527,546.84/15,838.71
  6. Step 6: Final answer
    x = 9,693.19

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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.