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Finding the Fourth Proportional to 6,198.93, 8,548.74 and 5,562.68

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Solution

The fourth proportional to 6,198.93, 8,548.74 and 5,562.68 is: 7,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.93 : 8,548.74 = 5,562.68 : x
  2. Step 2: Convert to fraction form
    6,198.93/8,548.74 = 5,562.68/x
  3. Step 3: Cross multiply
    6,198.93x = 8,548.74 × 5,562.68
  4. Step 4: Simplify right side
    6,198.93x = 47,553,862.28
  5. Step 5: Solve for x
    x = 47,553,862.28/6,198.93
  6. Step 6: Final answer
    x = 7,671.30

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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.