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Finding the Fourth Proportional to 7,770, 11,656.85 and 2,575.88

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Solution

The fourth proportional to 7,770, 11,656.85 and 2,575.88 is: 3,864.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770 : 11,656.85 = 2,575.88 : x
  2. Step 2: Convert to fraction form
    7,770/11,656.85 = 2,575.88/x
  3. Step 3: Cross multiply
    7,770x = 11,656.85 × 2,575.88
  4. Step 4: Simplify right side
    7,770x = 30,026,575.61
  5. Step 5: Solve for x
    x = 30,026,575.61/7,770
  6. Step 6: Final answer
    x = 3,864.42

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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.