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Finding the Fourth Proportional to 16,191.93, 24,277.83 and 6,827.13

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Solution

The fourth proportional to 16,191.93, 24,277.83 and 6,827.13 is: 10,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191.93 : 24,277.83 = 6,827.13 : x
  2. Step 2: Convert to fraction form
    16,191.93/24,277.83 = 6,827.13/x
  3. Step 3: Cross multiply
    16,191.93x = 24,277.83 × 6,827.13
  4. Step 4: Simplify right side
    16,191.93x = 165,747,901.53
  5. Step 5: Solve for x
    x = 165,747,901.53/16,191.93
  6. Step 6: Final answer
    x = 10,236.45

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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.