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Finding the Fourth Proportional to 10,744.62, 14,827.78 and 6,029.22

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Solution

The fourth proportional to 10,744.62, 14,827.78 and 6,029.22 is: 8,320.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.62 : 14,827.78 = 6,029.22 : x
  2. Step 2: Convert to fraction form
    10,744.62/14,827.78 = 6,029.22/x
  3. Step 3: Cross multiply
    10,744.62x = 14,827.78 × 6,029.22
  4. Step 4: Simplify right side
    10,744.62x = 89,399,947.73
  5. Step 5: Solve for x
    x = 89,399,947.73/10,744.62
  6. Step 6: Final answer
    x = 8,320.44

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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.