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Finding the Fourth Proportional to 8,972.95, 12,383.85 and 5,146.09

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Solution

The fourth proportional to 8,972.95, 12,383.85 and 5,146.09 is: 7,102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.95 : 12,383.85 = 5,146.09 : x
  2. Step 2: Convert to fraction form
    8,972.95/12,383.85 = 5,146.09/x
  3. Step 3: Cross multiply
    8,972.95x = 12,383.85 × 5,146.09
  4. Step 4: Simplify right side
    8,972.95x = 63,728,375.69
  5. Step 5: Solve for x
    x = 63,728,375.69/8,972.95
  6. Step 6: Final answer
    x = 7,102.27

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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.