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Finding the Fourth Proportional to 16,471.12, 24,712.48 and 10,946.40

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Solution

The fourth proportional to 16,471.12, 24,712.48 and 10,946.40 is: 16,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.12 : 24,712.48 = 10,946.40 : x
  2. Step 2: Convert to fraction form
    16,471.12/24,712.48 = 10,946.40/x
  3. Step 3: Cross multiply
    16,471.12x = 24,712.48 × 10,946.40
  4. Step 4: Simplify right side
    16,471.12x = 270,512,691.07
  5. Step 5: Solve for x
    x = 270,512,691.07/16,471.12
  6. Step 6: Final answer
    x = 16,423.45

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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.