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Finding the Fourth Proportional to 6,481.04, 8,944 and 3,648.42

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Solution

The fourth proportional to 6,481.04, 8,944 and 3,648.42 is: 5,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.04 : 8,944 = 3,648.42 : x
  2. Step 2: Convert to fraction form
    6,481.04/8,944 = 3,648.42/x
  3. Step 3: Cross multiply
    6,481.04x = 8,944 × 3,648.42
  4. Step 4: Simplify right side
    6,481.04x = 32,631,468.48
  5. Step 5: Solve for x
    x = 32,631,468.48/6,481.04
  6. Step 6: Final answer
    x = 5,034.91

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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.