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Finding the Fourth Proportional to 9,683.50, 14,527.68 and 2,758

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Solution

The fourth proportional to 9,683.50, 14,527.68 and 2,758 is: 4,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.50 : 14,527.68 = 2,758 : x
  2. Step 2: Convert to fraction form
    9,683.50/14,527.68 = 2,758/x
  3. Step 3: Cross multiply
    9,683.50x = 14,527.68 × 2,758
  4. Step 4: Simplify right side
    9,683.50x = 40,067,341.44
  5. Step 5: Solve for x
    x = 40,067,341.44/9,683.50
  6. Step 6: Final answer
    x = 4,137.69

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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.