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Finding the Fourth Proportional to 9,683.04, 14,525.10 and 2,757

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Solution

The fourth proportional to 9,683.04, 14,525.10 and 2,757 is: 4,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.04 : 14,525.10 = 2,757 : x
  2. Step 2: Convert to fraction form
    9,683.04/14,525.10 = 2,757/x
  3. Step 3: Cross multiply
    9,683.04x = 14,525.10 × 2,757
  4. Step 4: Simplify right side
    9,683.04x = 40,045,700.70
  5. Step 5: Solve for x
    x = 40,045,700.70/9,683.04
  6. Step 6: Final answer
    x = 4,135.65

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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.