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Finding the Fourth Proportional to 6,198.76, 8,554.42 and 3,404.24

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Solution

The fourth proportional to 6,198.76, 8,554.42 and 3,404.24 is: 4,697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.76 : 8,554.42 = 3,404.24 : x
  2. Step 2: Convert to fraction form
    6,198.76/8,554.42 = 3,404.24/x
  3. Step 3: Cross multiply
    6,198.76x = 8,554.42 × 3,404.24
  4. Step 4: Simplify right side
    6,198.76x = 29,121,298.74
  5. Step 5: Solve for x
    x = 29,121,298.74/6,198.76
  6. Step 6: Final answer
    x = 4,697.92

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Half scale
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Double scale
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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.