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Finding the Fourth Proportional to 6,198.94, 9,298.41 and 1,581.94

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Solution

The fourth proportional to 6,198.94, 9,298.41 and 1,581.94 is: 2,372.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.94 : 9,298.41 = 1,581.94 : x
  2. Step 2: Convert to fraction form
    6,198.94/9,298.41 = 1,581.94/x
  3. Step 3: Cross multiply
    6,198.94x = 9,298.41 × 1,581.94
  4. Step 4: Simplify right side
    6,198.94x = 14,709,503.47
  5. Step 5: Solve for x
    x = 14,709,503.47/6,198.94
  6. Step 6: Final answer
    x = 2,372.91

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Double scale
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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.