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Finding the Fourth Proportional to 8,057.78, 12,085.00 and 2,213.02

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Solution

The fourth proportional to 8,057.78, 12,085.00 and 2,213.02 is: 3,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.78 : 12,085.00 = 2,213.02 : x
  2. Step 2: Convert to fraction form
    8,057.78/12,085.00 = 2,213.02/x
  3. Step 3: Cross multiply
    8,057.78x = 12,085.00 × 2,213.02
  4. Step 4: Simplify right side
    8,057.78x = 26,744,356.27
  5. Step 5: Solve for x
    x = 26,744,356.27/8,057.78
  6. Step 6: Final answer
    x = 3,319.07

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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.