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Finding the Fourth Proportional to 10,029.72, 13,844.02 and 6,493.17

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Solution

The fourth proportional to 10,029.72, 13,844.02 and 6,493.17 is: 8,962.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.72 : 13,844.02 = 6,493.17 : x
  2. Step 2: Convert to fraction form
    10,029.72/13,844.02 = 6,493.17/x
  3. Step 3: Cross multiply
    10,029.72x = 13,844.02 × 6,493.17
  4. Step 4: Simplify right side
    10,029.72x = 89,891,559.11
  5. Step 5: Solve for x
    x = 89,891,559.11/10,029.72
  6. Step 6: Final answer
    x = 8,962.52

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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.