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Finding the Fourth Proportional to 10,238.54, 15,358.10 and 2,843.54

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Solution

The fourth proportional to 10,238.54, 15,358.10 and 2,843.54 is: 4,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.54 : 15,358.10 = 2,843.54 : x
  2. Step 2: Convert to fraction form
    10,238.54/15,358.10 = 2,843.54/x
  3. Step 3: Cross multiply
    10,238.54x = 15,358.10 × 2,843.54
  4. Step 4: Simplify right side
    10,238.54x = 43,671,280.67
  5. Step 5: Solve for x
    x = 43,671,280.67/10,238.54
  6. Step 6: Final answer
    x = 4,265.38

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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.