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Finding the Fourth Proportional to 16,473.92, 22,735.63 and 9,401.40

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Solution

The fourth proportional to 16,473.92, 22,735.63 and 9,401.40 is: 12,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,473.92 : 22,735.63 = 9,401.40 : x
  2. Step 2: Convert to fraction form
    16,473.92/22,735.63 = 9,401.40/x
  3. Step 3: Cross multiply
    16,473.92x = 22,735.63 × 9,401.40
  4. Step 4: Simplify right side
    16,473.92x = 213,746,728.38
  5. Step 5: Solve for x
    x = 213,746,728.38/16,473.92
  6. Step 6: Final answer
    x = 12,974.86

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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.