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Finding the Fourth Proportional to 6,493.44, 8,959.68 and 5,249.28

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Solution

The fourth proportional to 6,493.44, 8,959.68 and 5,249.28 is: 7,242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.44 : 8,959.68 = 5,249.28 : x
  2. Step 2: Convert to fraction form
    6,493.44/8,959.68 = 5,249.28/x
  3. Step 3: Cross multiply
    6,493.44x = 8,959.68 × 5,249.28
  4. Step 4: Simplify right side
    6,493.44x = 47,031,869.03
  5. Step 5: Solve for x
    x = 47,031,869.03/6,493.44
  6. Step 6: Final answer
    x = 7,242.98

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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.