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Finding the Fourth Proportional to 12,843.60, 19,267.20 and 6,264.42

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Solution

The fourth proportional to 12,843.60, 19,267.20 and 6,264.42 is: 9,397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.60 : 19,267.20 = 6,264.42 : x
  2. Step 2: Convert to fraction form
    12,843.60/19,267.20 = 6,264.42/x
  3. Step 3: Cross multiply
    12,843.60x = 19,267.20 × 6,264.42
  4. Step 4: Simplify right side
    12,843.60x = 120,697,833.02
  5. Step 5: Solve for x
    x = 120,697,833.02/12,843.60
  6. Step 6: Final answer
    x = 9,397.51

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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.