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Finding the Fourth Proportional to 5,463, 8,194.76 and 3,285.72

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Solution

The fourth proportional to 5,463, 8,194.76 and 3,285.72 is: 4,928.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463 : 8,194.76 = 3,285.72 : x
  2. Step 2: Convert to fraction form
    5,463/8,194.76 = 3,285.72/x
  3. Step 3: Cross multiply
    5,463x = 8,194.76 × 3,285.72
  4. Step 4: Simplify right side
    5,463x = 26,925,686.83
  5. Step 5: Solve for x
    x = 26,925,686.83/5,463
  6. Step 6: Final answer
    x = 4,928.74

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.