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Finding the Fourth Proportional to 7,075.98, 9,764.42 and 3,932.19

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Solution

The fourth proportional to 7,075.98, 9,764.42 and 3,932.19 is: 5,426.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.98 : 9,764.42 = 3,932.19 : x
  2. Step 2: Convert to fraction form
    7,075.98/9,764.42 = 3,932.19/x
  3. Step 3: Cross multiply
    7,075.98x = 9,764.42 × 3,932.19
  4. Step 4: Simplify right side
    7,075.98x = 38,395,535.02
  5. Step 5: Solve for x
    x = 38,395,535.02/7,075.98
  6. Step 6: Final answer
    x = 5,426.18

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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.