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Finding the Fourth Proportional to 8,146.76, 12,200.99 and 3,973.68

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Solution

The fourth proportional to 8,146.76, 12,200.99 and 3,973.68 is: 5,951.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.76 : 12,200.99 = 3,973.68 : x
  2. Step 2: Convert to fraction form
    8,146.76/12,200.99 = 3,973.68/x
  3. Step 3: Cross multiply
    8,146.76x = 12,200.99 × 3,973.68
  4. Step 4: Simplify right side
    8,146.76x = 48,482,810.07
  5. Step 5: Solve for x
    x = 48,482,810.07/8,146.76
  6. Step 6: Final answer
    x = 5,951.18

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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.