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Finding the Fourth Proportional to 8,189.60, 12,284.10 and 2,346.20

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Solution

The fourth proportional to 8,189.60, 12,284.10 and 2,346.20 is: 3,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.60 : 12,284.10 = 2,346.20 : x
  2. Step 2: Convert to fraction form
    8,189.60/12,284.10 = 2,346.20/x
  3. Step 3: Cross multiply
    8,189.60x = 12,284.10 × 2,346.20
  4. Step 4: Simplify right side
    8,189.60x = 28,820,955.42
  5. Step 5: Solve for x
    x = 28,820,955.42/8,189.60
  6. Step 6: Final answer
    x = 3,519.21

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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.