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Finding the Fourth Proportional to 8,847.14, 12,214.08 and 5,867.00

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Solution

The fourth proportional to 8,847.14, 12,214.08 and 5,867.00 is: 8,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,847.14 : 12,214.08 = 5,867.00 : x
  2. Step 2: Convert to fraction form
    8,847.14/12,214.08 = 5,867.00/x
  3. Step 3: Cross multiply
    8,847.14x = 12,214.08 × 5,867.00
  4. Step 4: Simplify right side
    8,847.14x = 71,659,946.29
  5. Step 5: Solve for x
    x = 71,659,946.29/8,847.14
  6. Step 6: Final answer
    x = 8,099.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.