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Finding the Fourth Proportional to 8,974.16, 13,456.78 and 5,684.76

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Solution

The fourth proportional to 8,974.16, 13,456.78 and 5,684.76 is: 8,524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.16 : 13,456.78 = 5,684.76 : x
  2. Step 2: Convert to fraction form
    8,974.16/13,456.78 = 5,684.76/x
  3. Step 3: Cross multiply
    8,974.16x = 13,456.78 × 5,684.76
  4. Step 4: Simplify right side
    8,974.16x = 76,498,564.67
  5. Step 5: Solve for x
    x = 76,498,564.67/8,974.16
  6. Step 6: Final answer
    x = 8,524.31

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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.