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Finding the Fourth Proportional to 7,761.54, 11,624.22 and 5,676.33

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Solution

The fourth proportional to 7,761.54, 11,624.22 and 5,676.33 is: 8,501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.54 : 11,624.22 = 5,676.33 : x
  2. Step 2: Convert to fraction form
    7,761.54/11,624.22 = 5,676.33/x
  3. Step 3: Cross multiply
    7,761.54x = 11,624.22 × 5,676.33
  4. Step 4: Simplify right side
    7,761.54x = 65,982,908.71
  5. Step 5: Solve for x
    x = 65,982,908.71/7,761.54
  6. Step 6: Final answer
    x = 8,501.27

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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.