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Finding the Fourth Proportional to 12,200.46, 18,300.69 and 2,966.46

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Solution

The fourth proportional to 12,200.46, 18,300.69 and 2,966.46 is: 4,449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.46 : 18,300.69 = 2,966.46 : x
  2. Step 2: Convert to fraction form
    12,200.46/18,300.69 = 2,966.46/x
  3. Step 3: Cross multiply
    12,200.46x = 18,300.69 × 2,966.46
  4. Step 4: Simplify right side
    12,200.46x = 54,288,264.86
  5. Step 5: Solve for x
    x = 54,288,264.86/12,200.46
  6. Step 6: Final answer
    x = 4,449.69

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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.