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Finding the Fourth Proportional to 7,755.84, 11,634.98 and 2,560.50

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Solution

The fourth proportional to 7,755.84, 11,634.98 and 2,560.50 is: 3,841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.84 : 11,634.98 = 2,560.50 : x
  2. Step 2: Convert to fraction form
    7,755.84/11,634.98 = 2,560.50/x
  3. Step 3: Cross multiply
    7,755.84x = 11,634.98 × 2,560.50
  4. Step 4: Simplify right side
    7,755.84x = 29,791,353.49
  5. Step 5: Solve for x
    x = 29,791,353.49/7,755.84
  6. Step 6: Final answer
    x = 3,841.15

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1.5x scale

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.