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Finding the Fourth Proportional to 7,075.50, 10,603.17 and 3,374.70

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Solution

The fourth proportional to 7,075.50, 10,603.17 and 3,374.70 is: 5,057.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.50 : 10,603.17 = 3,374.70 : x
  2. Step 2: Convert to fraction form
    7,075.50/10,603.17 = 3,374.70/x
  3. Step 3: Cross multiply
    7,075.50x = 10,603.17 × 3,374.70
  4. Step 4: Simplify right side
    7,075.50x = 35,782,517.80
  5. Step 5: Solve for x
    x = 35,782,517.80/7,075.50
  6. Step 6: Final answer
    x = 5,057.24

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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.