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Finding the Fourth Proportional to 6,964.68, 10,447.02 and 3,499.50

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Solution

The fourth proportional to 6,964.68, 10,447.02 and 3,499.50 is: 5,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.68 : 10,447.02 = 3,499.50 : x
  2. Step 2: Convert to fraction form
    6,964.68/10,447.02 = 3,499.50/x
  3. Step 3: Cross multiply
    6,964.68x = 10,447.02 × 3,499.50
  4. Step 4: Simplify right side
    6,964.68x = 36,559,346.49
  5. Step 5: Solve for x
    x = 36,559,346.49/6,964.68
  6. Step 6: Final answer
    x = 5,249.25

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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.