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Finding the Fourth Proportional to 12,226.87, 16,873.34 and 7,447.02

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Solution

The fourth proportional to 12,226.87, 16,873.34 and 7,447.02 is: 10,277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.87 : 16,873.34 = 7,447.02 : x
  2. Step 2: Convert to fraction form
    12,226.87/16,873.34 = 7,447.02/x
  3. Step 3: Cross multiply
    12,226.87x = 16,873.34 × 7,447.02
  4. Step 4: Simplify right side
    12,226.87x = 125,656,100.45
  5. Step 5: Solve for x
    x = 125,656,100.45/12,226.87
  6. Step 6: Final answer
    x = 10,277.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.