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Finding the Fourth Proportional to 16,000.11, 24,000.17 and 4,314.51

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Solution

The fourth proportional to 16,000.11, 24,000.17 and 4,314.51 is: 6,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.11 : 24,000.17 = 4,314.51 : x
  2. Step 2: Convert to fraction form
    16,000.11/24,000.17 = 4,314.51/x
  3. Step 3: Cross multiply
    16,000.11x = 24,000.17 × 4,314.51
  4. Step 4: Simplify right side
    16,000.11x = 103,548,951.89
  5. Step 5: Solve for x
    x = 103,548,951.89/16,000.11
  6. Step 6: Final answer
    x = 6,471.77

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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.