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Finding the Fourth Proportional to 6,589.50, 9,907.95 and 6,075.78

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Solution

The fourth proportional to 6,589.50, 9,907.95 and 6,075.78 is: 9,135.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.50 : 9,907.95 = 6,075.78 : x
  2. Step 2: Convert to fraction form
    6,589.50/9,907.95 = 6,075.78/x
  3. Step 3: Cross multiply
    6,589.50x = 9,907.95 × 6,075.78
  4. Step 4: Simplify right side
    6,589.50x = 60,198,510.08
  5. Step 5: Solve for x
    x = 60,198,510.08/6,589.50
  6. Step 6: Final answer
    x = 9,135.53

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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.