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Finding the Fourth Proportional to 16,478.92, 24,712.20 and 5,946.16

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Solution

The fourth proportional to 16,478.92, 24,712.20 and 5,946.16 is: 8,917.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.92 : 24,712.20 = 5,946.16 : x
  2. Step 2: Convert to fraction form
    16,478.92/24,712.20 = 5,946.16/x
  3. Step 3: Cross multiply
    16,478.92x = 24,712.20 × 5,946.16
  4. Step 4: Simplify right side
    16,478.92x = 146,942,695.15
  5. Step 5: Solve for x
    x = 146,942,695.15/16,478.92
  6. Step 6: Final answer
    x = 8,917.01

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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.