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Finding the Fourth Proportional to 7,684.74, 11,524.83 and 3,301.17

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Solution

The fourth proportional to 7,684.74, 11,524.83 and 3,301.17 is: 4,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.74 : 11,524.83 = 3,301.17 : x
  2. Step 2: Convert to fraction form
    7,684.74/11,524.83 = 3,301.17/x
  3. Step 3: Cross multiply
    7,684.74x = 11,524.83 × 3,301.17
  4. Step 4: Simplify right side
    7,684.74x = 38,045,466.27
  5. Step 5: Solve for x
    x = 38,045,466.27/7,684.74
  6. Step 6: Final answer
    x = 4,950.78

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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.