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Finding the Fourth Proportional to 7,761.63, 11,642.67 and 2,834.94

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Solution

The fourth proportional to 7,761.63, 11,642.67 and 2,834.94 is: 4,252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.63 : 11,642.67 = 2,834.94 : x
  2. Step 2: Convert to fraction form
    7,761.63/11,642.67 = 2,834.94/x
  3. Step 3: Cross multiply
    7,761.63x = 11,642.67 × 2,834.94
  4. Step 4: Simplify right side
    7,761.63x = 33,006,270.89
  5. Step 5: Solve for x
    x = 33,006,270.89/7,761.63
  6. Step 6: Final answer
    x = 4,252.49

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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.