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Finding the Fourth Proportional to 7,676.80, 10,588.32 and 5,687.44

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Solution

The fourth proportional to 7,676.80, 10,588.32 and 5,687.44 is: 7,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.80 : 10,588.32 = 5,687.44 : x
  2. Step 2: Convert to fraction form
    7,676.80/10,588.32 = 5,687.44/x
  3. Step 3: Cross multiply
    7,676.80x = 10,588.32 × 5,687.44
  4. Step 4: Simplify right side
    7,676.80x = 60,220,434.70
  5. Step 5: Solve for x
    x = 60,220,434.70/7,676.80
  6. Step 6: Final answer
    x = 7,844.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.