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Finding the Fourth Proportional to 10,249.80, 14,139.54 and 7,891.08

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Solution

The fourth proportional to 10,249.80, 14,139.54 and 7,891.08 is: 10,885.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.80 : 14,139.54 = 7,891.08 : x
  2. Step 2: Convert to fraction form
    10,249.80/14,139.54 = 7,891.08/x
  3. Step 3: Cross multiply
    10,249.80x = 14,139.54 × 7,891.08
  4. Step 4: Simplify right side
    10,249.80x = 111,576,241.30
  5. Step 5: Solve for x
    x = 111,576,241.30/10,249.80
  6. Step 6: Final answer
    x = 10,885.70

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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.