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Finding the Fourth Proportional to 8,972.92, 12,364.14 and 8,851.96

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Solution

The fourth proportional to 8,972.92, 12,364.14 and 8,851.96 is: 12,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.92 : 12,364.14 = 8,851.96 : x
  2. Step 2: Convert to fraction form
    8,972.92/12,364.14 = 8,851.96/x
  3. Step 3: Cross multiply
    8,972.92x = 12,364.14 × 8,851.96
  4. Step 4: Simplify right side
    8,972.92x = 109,446,872.71
  5. Step 5: Solve for x
    x = 109,446,872.71/8,972.92
  6. Step 6: Final answer
    x = 12,197.46

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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.