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Finding the Fourth Proportional to 12,952.60, 19,424.78 and 4,185.44

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Solution

The fourth proportional to 12,952.60, 19,424.78 and 4,185.44 is: 6,276.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.60 : 19,424.78 = 4,185.44 : x
  2. Step 2: Convert to fraction form
    12,952.60/19,424.78 = 4,185.44/x
  3. Step 3: Cross multiply
    12,952.60x = 19,424.78 × 4,185.44
  4. Step 4: Simplify right side
    12,952.60x = 81,301,251.20
  5. Step 5: Solve for x
    x = 81,301,251.20/12,952.60
  6. Step 6: Final answer
    x = 6,276.83

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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.