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Finding the Fourth Proportional to 7,226.08, 10,857.39 and 6,934.48

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Solution

The fourth proportional to 7,226.08, 10,857.39 and 6,934.48 is: 10,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.08 : 10,857.39 = 6,934.48 : x
  2. Step 2: Convert to fraction form
    7,226.08/10,857.39 = 6,934.48/x
  3. Step 3: Cross multiply
    7,226.08x = 10,857.39 × 6,934.48
  4. Step 4: Simplify right side
    7,226.08x = 75,290,353.81
  5. Step 5: Solve for x
    x = 75,290,353.81/7,226.08
  6. Step 6: Final answer
    x = 10,419.25

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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.