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Finding the Fourth Proportional to 16,167.98, 24,251.70 and 7,846.58

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Solution

The fourth proportional to 16,167.98, 24,251.70 and 7,846.58 is: 11,769.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,167.98 : 24,251.70 = 7,846.58 : x
  2. Step 2: Convert to fraction form
    16,167.98/24,251.70 = 7,846.58/x
  3. Step 3: Cross multiply
    16,167.98x = 24,251.70 × 7,846.58
  4. Step 4: Simplify right side
    16,167.98x = 190,292,904.19
  5. Step 5: Solve for x
    x = 190,292,904.19/16,167.98
  6. Step 6: Final answer
    x = 11,769.74

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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.