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Finding the Fourth Proportional to 6,197.04, 9,296.12 and 2,499.12

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Solution

The fourth proportional to 6,197.04, 9,296.12 and 2,499.12 is: 3,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.04 : 9,296.12 = 2,499.12 : x
  2. Step 2: Convert to fraction form
    6,197.04/9,296.12 = 2,499.12/x
  3. Step 3: Cross multiply
    6,197.04x = 9,296.12 × 2,499.12
  4. Step 4: Simplify right side
    6,197.04x = 23,232,119.41
  5. Step 5: Solve for x
    x = 23,232,119.41/6,197.04
  6. Step 6: Final answer
    x = 3,748.91

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Similar ratio
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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.