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Finding the Fourth Proportional to 16,449.62, 22,706.28 and 9,737.60

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Solution

The fourth proportional to 16,449.62, 22,706.28 and 9,737.60 is: 13,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.62 : 22,706.28 = 9,737.60 : x
  2. Step 2: Convert to fraction form
    16,449.62/22,706.28 = 9,737.60/x
  3. Step 3: Cross multiply
    16,449.62x = 22,706.28 × 9,737.60
  4. Step 4: Simplify right side
    16,449.62x = 221,104,672.13
  5. Step 5: Solve for x
    x = 221,104,672.13/16,449.62
  6. Step 6: Final answer
    x = 13,441.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.