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Finding the Fourth Proportional to 16,471.41, 24,711.05 and 5,378.12

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Solution

The fourth proportional to 16,471.41, 24,711.05 and 5,378.12 is: 8,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.41 : 24,711.05 = 5,378.12 : x
  2. Step 2: Convert to fraction form
    16,471.41/24,711.05 = 5,378.12/x
  3. Step 3: Cross multiply
    16,471.41x = 24,711.05 × 5,378.12
  4. Step 4: Simplify right side
    16,471.41x = 132,898,992.23
  5. Step 5: Solve for x
    x = 132,898,992.23/16,471.41
  6. Step 6: Final answer
    x = 8,068.46

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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.