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Finding the Fourth Proportional to 9,017, 13,527.68 and 2,861

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Solution

The fourth proportional to 9,017, 13,527.68 and 2,861 is: 4,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,017 : 13,527.68 = 2,861 : x
  2. Step 2: Convert to fraction form
    9,017/13,527.68 = 2,861/x
  3. Step 3: Cross multiply
    9,017x = 13,527.68 × 2,861
  4. Step 4: Simplify right side
    9,017x = 38,702,692.48
  5. Step 5: Solve for x
    x = 38,702,692.48/9,017
  6. Step 6: Final answer
    x = 4,292.19

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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.