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Finding the Fourth Proportional to 9,682.50, 14,526.18 and 2,757

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Solution

The fourth proportional to 9,682.50, 14,526.18 and 2,757 is: 4,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.50 : 14,526.18 = 2,757 : x
  2. Step 2: Convert to fraction form
    9,682.50/14,526.18 = 2,757/x
  3. Step 3: Cross multiply
    9,682.50x = 14,526.18 × 2,757
  4. Step 4: Simplify right side
    9,682.50x = 40,048,678.26
  5. Step 5: Solve for x
    x = 40,048,678.26/9,682.50
  6. Step 6: Final answer
    x = 4,136.19

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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.