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Finding the Fourth Proportional to 8,057.71, 12,087.02 and 2,214.19

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Solution

The fourth proportional to 8,057.71, 12,087.02 and 2,214.19 is: 3,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.71 : 12,087.02 = 2,214.19 : x
  2. Step 2: Convert to fraction form
    8,057.71/12,087.02 = 2,214.19/x
  3. Step 3: Cross multiply
    8,057.71x = 12,087.02 × 2,214.19
  4. Step 4: Simplify right side
    8,057.71x = 26,762,958.81
  5. Step 5: Solve for x
    x = 26,762,958.81/8,057.71
  6. Step 6: Final answer
    x = 3,321.41

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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.