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Finding the Fourth Proportional to 11,882.50, 16,397.85 and 6,914.50

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Solution

The fourth proportional to 11,882.50, 16,397.85 and 6,914.50 is: 9,542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.50 : 16,397.85 = 6,914.50 : x
  2. Step 2: Convert to fraction form
    11,882.50/16,397.85 = 6,914.50/x
  3. Step 3: Cross multiply
    11,882.50x = 16,397.85 × 6,914.50
  4. Step 4: Simplify right side
    11,882.50x = 113,382,933.83
  5. Step 5: Solve for x
    x = 113,382,933.83/11,882.50
  6. Step 6: Final answer
    x = 9,542.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.