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Finding the Fourth Proportional to 10,230.03, 15,345.48 and 2,834.31

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Solution

The fourth proportional to 10,230.03, 15,345.48 and 2,834.31 is: 4,251.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.03 : 15,345.48 = 2,834.31 : x
  2. Step 2: Convert to fraction form
    10,230.03/15,345.48 = 2,834.31/x
  3. Step 3: Cross multiply
    10,230.03x = 15,345.48 × 2,834.31
  4. Step 4: Simplify right side
    10,230.03x = 43,493,847.42
  5. Step 5: Solve for x
    x = 43,493,847.42/10,230.03
  6. Step 6: Final answer
    x = 4,251.59

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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.