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Finding the Fourth Proportional to 11,576.50, 17,365.57 and 4,651

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Solution

The fourth proportional to 11,576.50, 17,365.57 and 4,651 is: 6,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.50 : 17,365.57 = 4,651 : x
  2. Step 2: Convert to fraction form
    11,576.50/17,365.57 = 4,651/x
  3. Step 3: Cross multiply
    11,576.50x = 17,365.57 × 4,651
  4. Step 4: Simplify right side
    11,576.50x = 80,767,266.07
  5. Step 5: Solve for x
    x = 80,767,266.07/11,576.50
  6. Step 6: Final answer
    x = 6,976.83

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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.