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Finding the Fourth Proportional to 7,645.44, 10,549.12 and 4,849.92

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Solution

The fourth proportional to 7,645.44, 10,549.12 and 4,849.92 is: 6,691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.44 : 10,549.12 = 4,849.92 : x
  2. Step 2: Convert to fraction form
    7,645.44/10,549.12 = 4,849.92/x
  3. Step 3: Cross multiply
    7,645.44x = 10,549.12 × 4,849.92
  4. Step 4: Simplify right side
    7,645.44x = 51,162,388.07
  5. Step 5: Solve for x
    x = 51,162,388.07/7,645.44
  6. Step 6: Final answer
    x = 6,691.88

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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.