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Finding the Fourth Proportional to 8,129.25, 12,193.88 and 1,973.25

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Solution

The fourth proportional to 8,129.25, 12,193.88 and 1,973.25 is: 2,959.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.25 : 12,193.88 = 1,973.25 : x
  2. Step 2: Convert to fraction form
    8,129.25/12,193.88 = 1,973.25/x
  3. Step 3: Cross multiply
    8,129.25x = 12,193.88 × 1,973.25
  4. Step 4: Simplify right side
    8,129.25x = 24,061,573.71
  5. Step 5: Solve for x
    x = 24,061,573.71/8,129.25
  6. Step 6: Final answer
    x = 2,959.88

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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.