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Finding the Fourth Proportional to 7,706.69, 11,553.03 and 2,775.21

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Solution

The fourth proportional to 7,706.69, 11,553.03 and 2,775.21 is: 4,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.69 : 11,553.03 = 2,775.21 : x
  2. Step 2: Convert to fraction form
    7,706.69/11,553.03 = 2,775.21/x
  3. Step 3: Cross multiply
    7,706.69x = 11,553.03 × 2,775.21
  4. Step 4: Simplify right side
    7,706.69x = 32,062,041.06
  5. Step 5: Solve for x
    x = 32,062,041.06/7,706.69
  6. Step 6: Final answer
    x = 4,160.29

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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.