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Finding the Fourth Proportional to 10,793.76, 16,181.68 and 7,513.24

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Solution

The fourth proportional to 10,793.76, 16,181.68 and 7,513.24 is: 11,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.76 : 16,181.68 = 7,513.24 : x
  2. Step 2: Convert to fraction form
    10,793.76/16,181.68 = 7,513.24/x
  3. Step 3: Cross multiply
    10,793.76x = 16,181.68 × 7,513.24
  4. Step 4: Simplify right side
    10,793.76x = 121,576,845.44
  5. Step 5: Solve for x
    x = 121,576,845.44/10,793.76
  6. Step 6: Final answer
    x = 11,263.62

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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.