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Finding the Fourth Proportional to 5,694.49, 7,851.49 and 4,418.74

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Solution

The fourth proportional to 5,694.49, 7,851.49 and 4,418.74 is: 6,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.49 : 7,851.49 = 4,418.74 : x
  2. Step 2: Convert to fraction form
    5,694.49/7,851.49 = 4,418.74/x
  3. Step 3: Cross multiply
    5,694.49x = 7,851.49 × 4,418.74
  4. Step 4: Simplify right side
    5,694.49x = 34,693,692.92
  5. Step 5: Solve for x
    x = 34,693,692.92/5,694.49
  6. Step 6: Final answer
    x = 6,092.50

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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.