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Finding the Fourth Proportional to 7,075.68, 9,765.53 and 5,092.80

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Solution

The fourth proportional to 7,075.68, 9,765.53 and 5,092.80 is: 7,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.68 : 9,765.53 = 5,092.80 : x
  2. Step 2: Convert to fraction form
    7,075.68/9,765.53 = 5,092.80/x
  3. Step 3: Cross multiply
    7,075.68x = 9,765.53 × 5,092.80
  4. Step 4: Simplify right side
    7,075.68x = 49,733,891.18
  5. Step 5: Solve for x
    x = 49,733,891.18/7,075.68
  6. Step 6: Final answer
    x = 7,028.85

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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.