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Finding the Fourth Proportional to 5,462.54, 8,193.77 and 1,566.95

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Solution

The fourth proportional to 5,462.54, 8,193.77 and 1,566.95 is: 2,350.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.54 : 8,193.77 = 1,566.95 : x
  2. Step 2: Convert to fraction form
    5,462.54/8,193.77 = 1,566.95/x
  3. Step 3: Cross multiply
    5,462.54x = 8,193.77 × 1,566.95
  4. Step 4: Simplify right side
    5,462.54x = 12,839,220.07
  5. Step 5: Solve for x
    x = 12,839,220.07/5,462.54
  6. Step 6: Final answer
    x = 2,350.41

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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.