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Finding the Fourth Proportional to 8,427.24, 12,640.86 and 3,807

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Solution

The fourth proportional to 8,427.24, 12,640.86 and 3,807 is: 5,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.24 : 12,640.86 = 3,807 : x
  2. Step 2: Convert to fraction form
    8,427.24/12,640.86 = 3,807/x
  3. Step 3: Cross multiply
    8,427.24x = 12,640.86 × 3,807
  4. Step 4: Simplify right side
    8,427.24x = 48,123,754.02
  5. Step 5: Solve for x
    x = 48,123,754.02/8,427.24
  6. Step 6: Final answer
    x = 5,710.50

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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.