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Finding the Fourth Proportional to 9,122.93, 13,677.36 and 8,195.68

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Solution

The fourth proportional to 9,122.93, 13,677.36 and 8,195.68 is: 12,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.93 : 13,677.36 = 8,195.68 : x
  2. Step 2: Convert to fraction form
    9,122.93/13,677.36 = 8,195.68/x
  3. Step 3: Cross multiply
    9,122.93x = 13,677.36 × 8,195.68
  4. Step 4: Simplify right side
    9,122.93x = 112,095,252.17
  5. Step 5: Solve for x
    x = 112,095,252.17/9,122.93
  6. Step 6: Final answer
    x = 12,287.20

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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.