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Finding the Fourth Proportional to 8,134.30, 12,201.45 and 1,978.30

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Solution

The fourth proportional to 8,134.30, 12,201.45 and 1,978.30 is: 2,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.30 : 12,201.45 = 1,978.30 : x
  2. Step 2: Convert to fraction form
    8,134.30/12,201.45 = 1,978.30/x
  3. Step 3: Cross multiply
    8,134.30x = 12,201.45 × 1,978.30
  4. Step 4: Simplify right side
    8,134.30x = 24,138,128.54
  5. Step 5: Solve for x
    x = 24,138,128.54/8,134.30
  6. Step 6: Final answer
    x = 2,967.45

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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.