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Finding the Fourth Proportional to 7,761, 11,637.54 and 2,565

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Solution

The fourth proportional to 7,761, 11,637.54 and 2,565 is: 3,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761 : 11,637.54 = 2,565 : x
  2. Step 2: Convert to fraction form
    7,761/11,637.54 = 2,565/x
  3. Step 3: Cross multiply
    7,761x = 11,637.54 × 2,565
  4. Step 4: Simplify right side
    7,761x = 29,850,290.10
  5. Step 5: Solve for x
    x = 29,850,290.10/7,761
  6. Step 6: Final answer
    x = 3,846.19

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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.