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Finding the Fourth Proportional to 10,249.77, 14,144.78 and 5,772.65

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Solution

The fourth proportional to 10,249.77, 14,144.78 and 5,772.65 is: 7,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.77 : 14,144.78 = 5,772.65 : x
  2. Step 2: Convert to fraction form
    10,249.77/14,144.78 = 5,772.65/x
  3. Step 3: Cross multiply
    10,249.77x = 14,144.78 × 5,772.65
  4. Step 4: Simplify right side
    10,249.77x = 81,652,855.07
  5. Step 5: Solve for x
    x = 81,652,855.07/10,249.77
  6. Step 6: Final answer
    x = 7,966.31

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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.