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Finding the Fourth Proportional to 6,193.88, 8,548 and 3,542.12

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Solution

The fourth proportional to 6,193.88, 8,548 and 3,542.12 is: 4,888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.88 : 8,548 = 3,542.12 : x
  2. Step 2: Convert to fraction form
    6,193.88/8,548 = 3,542.12/x
  3. Step 3: Cross multiply
    6,193.88x = 8,548 × 3,542.12
  4. Step 4: Simplify right side
    6,193.88x = 30,278,041.76
  5. Step 5: Solve for x
    x = 30,278,041.76/6,193.88
  6. Step 6: Final answer
    x = 4,888.38

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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.