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Finding the Fourth Proportional to 9,075.78, 13,605.17 and 3,532.68

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Solution

The fourth proportional to 9,075.78, 13,605.17 and 3,532.68 is: 5,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.78 : 13,605.17 = 3,532.68 : x
  2. Step 2: Convert to fraction form
    9,075.78/13,605.17 = 3,532.68/x
  3. Step 3: Cross multiply
    9,075.78x = 13,605.17 × 3,532.68
  4. Step 4: Simplify right side
    9,075.78x = 48,062,694.29
  5. Step 5: Solve for x
    x = 48,062,694.29/9,075.78
  6. Step 6: Final answer
    x = 5,295.71

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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.