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Finding the Fourth Proportional to 7,755.78, 11,633.91 and 2,562.06

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Solution

The fourth proportional to 7,755.78, 11,633.91 and 2,562.06 is: 3,843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.78 : 11,633.91 = 2,562.06 : x
  2. Step 2: Convert to fraction form
    7,755.78/11,633.91 = 2,562.06/x
  3. Step 3: Cross multiply
    7,755.78x = 11,633.91 × 2,562.06
  4. Step 4: Simplify right side
    7,755.78x = 29,806,775.45
  5. Step 5: Solve for x
    x = 29,806,775.45/7,755.78
  6. Step 6: Final answer
    x = 3,843.17

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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.