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Finding the Fourth Proportional to 6,209.79, 9,314.73 and 1,592.79

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Solution

The fourth proportional to 6,209.79, 9,314.73 and 1,592.79 is: 2,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.79 : 9,314.73 = 1,592.79 : x
  2. Step 2: Convert to fraction form
    6,209.79/9,314.73 = 1,592.79/x
  3. Step 3: Cross multiply
    6,209.79x = 9,314.73 × 1,592.79
  4. Step 4: Simplify right side
    6,209.79x = 14,836,408.80
  5. Step 5: Solve for x
    x = 14,836,408.80/6,209.79
  6. Step 6: Final answer
    x = 2,389.20

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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.