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Finding the Fourth Proportional to 6,200.74, 8,542.59 and 5,075.11

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Solution

The fourth proportional to 6,200.74, 8,542.59 and 5,075.11 is: 6,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.74 : 8,542.59 = 5,075.11 : x
  2. Step 2: Convert to fraction form
    6,200.74/8,542.59 = 5,075.11/x
  3. Step 3: Cross multiply
    6,200.74x = 8,542.59 × 5,075.11
  4. Step 4: Simplify right side
    6,200.74x = 43,354,583.93
  5. Step 5: Solve for x
    x = 43,354,583.93/6,200.74
  6. Step 6: Final answer
    x = 6,991.84

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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.