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Finding the Fourth Proportional to 6,213.96, 8,577 and 3,854.76

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Solution

The fourth proportional to 6,213.96, 8,577 and 3,854.76 is: 5,320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.96 : 8,577 = 3,854.76 : x
  2. Step 2: Convert to fraction form
    6,213.96/8,577 = 3,854.76/x
  3. Step 3: Cross multiply
    6,213.96x = 8,577 × 3,854.76
  4. Step 4: Simplify right side
    6,213.96x = 33,062,276.52
  5. Step 5: Solve for x
    x = 33,062,276.52/6,213.96
  6. Step 6: Final answer
    x = 5,320.65

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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.