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Finding the Fourth Proportional to 8,022.31, 12,034.31 and 2,100.13

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Solution

The fourth proportional to 8,022.31, 12,034.31 and 2,100.13 is: 3,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.31 : 12,034.31 = 2,100.13 : x
  2. Step 2: Convert to fraction form
    8,022.31/12,034.31 = 2,100.13/x
  3. Step 3: Cross multiply
    8,022.31x = 12,034.31 × 2,100.13
  4. Step 4: Simplify right side
    8,022.31x = 25,273,574.87
  5. Step 5: Solve for x
    x = 25,273,574.87/8,022.31
  6. Step 6: Final answer
    x = 3,150.41

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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.