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Finding the Fourth Proportional to 6,197.92, 9,296.88 and 1,580.92

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Solution

The fourth proportional to 6,197.92, 9,296.88 and 1,580.92 is: 2,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.92 : 9,296.88 = 1,580.92 : x
  2. Step 2: Convert to fraction form
    6,197.92/9,296.88 = 1,580.92/x
  3. Step 3: Cross multiply
    6,197.92x = 9,296.88 × 1,580.92
  4. Step 4: Simplify right side
    6,197.92x = 14,697,623.53
  5. Step 5: Solve for x
    x = 14,697,623.53/6,197.92
  6. Step 6: Final answer
    x = 2,371.38

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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.