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Finding the Fourth Proportional to 7,754.63, 11,631.96 and 2,560.91

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Solution

The fourth proportional to 7,754.63, 11,631.96 and 2,560.91 is: 3,841.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.63 : 11,631.96 = 2,560.91 : x
  2. Step 2: Convert to fraction form
    7,754.63/11,631.96 = 2,560.91/x
  3. Step 3: Cross multiply
    7,754.63x = 11,631.96 × 2,560.91
  4. Step 4: Simplify right side
    7,754.63x = 29,788,402.68
  5. Step 5: Solve for x
    x = 29,788,402.68/7,754.63
  6. Step 6: Final answer
    x = 3,841.37

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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.