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Finding the Fourth Proportional to 8,115.25, 12,172.88 and 1,959.25

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Solution

The fourth proportional to 8,115.25, 12,172.88 and 1,959.25 is: 2,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.25 : 12,172.88 = 1,959.25 : x
  2. Step 2: Convert to fraction form
    8,115.25/12,172.88 = 1,959.25/x
  3. Step 3: Cross multiply
    8,115.25x = 12,172.88 × 1,959.25
  4. Step 4: Simplify right side
    8,115.25x = 23,849,715.14
  5. Step 5: Solve for x
    x = 23,849,715.14/8,115.25
  6. Step 6: Final answer
    x = 2,938.88

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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.