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Finding the Fourth Proportional to 12,892.74, 19,339.12 and 3,532.84

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Solution

The fourth proportional to 12,892.74, 19,339.12 and 3,532.84 is: 5,299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.74 : 19,339.12 = 3,532.84 : x
  2. Step 2: Convert to fraction form
    12,892.74/19,339.12 = 3,532.84/x
  3. Step 3: Cross multiply
    12,892.74x = 19,339.12 × 3,532.84
  4. Step 4: Simplify right side
    12,892.74x = 68,321,972.77
  5. Step 5: Solve for x
    x = 68,321,972.77/12,892.74
  6. Step 6: Final answer
    x = 5,299.26

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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.