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Finding the Fourth Proportional to 6,922.77, 10,384.17 and 2,242.59

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Solution

The fourth proportional to 6,922.77, 10,384.17 and 2,242.59 is: 3,363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.77 : 10,384.17 = 2,242.59 : x
  2. Step 2: Convert to fraction form
    6,922.77/10,384.17 = 2,242.59/x
  3. Step 3: Cross multiply
    6,922.77x = 10,384.17 × 2,242.59
  4. Step 4: Simplify right side
    6,922.77x = 23,287,435.80
  5. Step 5: Solve for x
    x = 23,287,435.80/6,922.77
  6. Step 6: Final answer
    x = 3,363.89

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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.