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Finding the Fourth Proportional to 6,349.70, 9,524.75 and 1,967.19

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Solution

The fourth proportional to 6,349.70, 9,524.75 and 1,967.19 is: 2,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.70 : 9,524.75 = 1,967.19 : x
  2. Step 2: Convert to fraction form
    6,349.70/9,524.75 = 1,967.19/x
  3. Step 3: Cross multiply
    6,349.70x = 9,524.75 × 1,967.19
  4. Step 4: Simplify right side
    6,349.70x = 18,736,983.12
  5. Step 5: Solve for x
    x = 18,736,983.12/6,349.70
  6. Step 6: Final answer
    x = 2,950.85

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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.