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Finding the Fourth Proportional to 6,349.59, 9,523.78 and 1,967.09

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Solution

The fourth proportional to 6,349.59, 9,523.78 and 1,967.09 is: 2,950.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.59 : 9,523.78 = 1,967.09 : x
  2. Step 2: Convert to fraction form
    6,349.59/9,523.78 = 1,967.09/x
  3. Step 3: Cross multiply
    6,349.59x = 9,523.78 × 1,967.09
  4. Step 4: Simplify right side
    6,349.59x = 18,734,079.86
  5. Step 5: Solve for x
    x = 18,734,079.86/6,349.59
  6. Step 6: Final answer
    x = 2,950.44

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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.