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Finding the Fourth Proportional to 10,000.92, 13,801.27 and 5,463.66

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Solution

The fourth proportional to 10,000.92, 13,801.27 and 5,463.66 is: 7,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.92 : 13,801.27 = 5,463.66 : x
  2. Step 2: Convert to fraction form
    10,000.92/13,801.27 = 5,463.66/x
  3. Step 3: Cross multiply
    10,000.92x = 13,801.27 × 5,463.66
  4. Step 4: Simplify right side
    10,000.92x = 75,405,460.51
  5. Step 5: Solve for x
    x = 75,405,460.51/10,000.92
  6. Step 6: Final answer
    x = 7,539.85

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Half 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.