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Finding the Fourth Proportional to 4,486.47, 6,715.86 and 4,103.73

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Solution

The fourth proportional to 4,486.47, 6,715.86 and 4,103.73 is: 6,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.47 : 6,715.86 = 4,103.73 : x
  2. Step 2: Convert to fraction form
    4,486.47/6,715.86 = 4,103.73/x
  3. Step 3: Cross multiply
    4,486.47x = 6,715.86 × 4,103.73
  4. Step 4: Simplify right side
    4,486.47x = 27,560,076.16
  5. Step 5: Solve for x
    x = 27,560,076.16/4,486.47
  6. Step 6: Final answer
    x = 6,142.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.