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Finding the Fourth Proportional to 7,075.87, 9,766.11 and 4,092.66

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Solution

The fourth proportional to 7,075.87, 9,766.11 and 4,092.66 is: 5,648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.87 : 9,766.11 = 4,092.66 : x
  2. Step 2: Convert to fraction form
    7,075.87/9,766.11 = 4,092.66/x
  3. Step 3: Cross multiply
    7,075.87x = 9,766.11 × 4,092.66
  4. Step 4: Simplify right side
    7,075.87x = 39,969,367.75
  5. Step 5: Solve for x
    x = 39,969,367.75/7,075.87
  6. Step 6: Final answer
    x = 5,648.69

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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.