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Finding the Fourth Proportional to 7,737, 11,607.42 and 2,265

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Solution

The fourth proportional to 7,737, 11,607.42 and 2,265 is: 3,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737 : 11,607.42 = 2,265 : x
  2. Step 2: Convert to fraction form
    7,737/11,607.42 = 2,265/x
  3. Step 3: Cross multiply
    7,737x = 11,607.42 × 2,265
  4. Step 4: Simplify right side
    7,737x = 26,290,806.30
  5. Step 5: Solve for x
    x = 26,290,806.30/7,737
  6. Step 6: Final answer
    x = 3,398.06

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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.