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Finding the Fourth Proportional to 8,374.30, 12,561.45 and 2,134.30

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Solution

The fourth proportional to 8,374.30, 12,561.45 and 2,134.30 is: 3,201.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.30 : 12,561.45 = 2,134.30 : x
  2. Step 2: Convert to fraction form
    8,374.30/12,561.45 = 2,134.30/x
  3. Step 3: Cross multiply
    8,374.30x = 12,561.45 × 2,134.30
  4. Step 4: Simplify right side
    8,374.30x = 26,809,902.74
  5. Step 5: Solve for x
    x = 26,809,902.74/8,374.30
  6. Step 6: Final answer
    x = 3,201.45

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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.