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Finding the Fourth Proportional to 10,029.44, 13,809.71 and 8,908.43

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Solution

The fourth proportional to 10,029.44, 13,809.71 and 8,908.43 is: 12,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.44 : 13,809.71 = 8,908.43 : x
  2. Step 2: Convert to fraction form
    10,029.44/13,809.71 = 8,908.43/x
  3. Step 3: Cross multiply
    10,029.44x = 13,809.71 × 8,908.43
  4. Step 4: Simplify right side
    10,029.44x = 123,022,834.86
  5. Step 5: Solve for x
    x = 123,022,834.86/10,029.44
  6. Step 6: Final answer
    x = 12,266.17

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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.