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Finding the Fourth Proportional to 6,198.60, 9,297.90 and 5,032.20

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Solution

The fourth proportional to 6,198.60, 9,297.90 and 5,032.20 is: 7,548.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.60 : 9,297.90 = 5,032.20 : x
  2. Step 2: Convert to fraction form
    6,198.60/9,297.90 = 5,032.20/x
  3. Step 3: Cross multiply
    6,198.60x = 9,297.90 × 5,032.20
  4. Step 4: Simplify right side
    6,198.60x = 46,788,892.38
  5. Step 5: Solve for x
    x = 46,788,892.38/6,198.60
  6. Step 6: Final answer
    x = 7,548.30

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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.