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Finding the Fourth Proportional to 6,850.48, 9,453.66 and 3,706.66

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Solution

The fourth proportional to 6,850.48, 9,453.66 and 3,706.66 is: 5,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.48 : 9,453.66 = 3,706.66 : x
  2. Step 2: Convert to fraction form
    6,850.48/9,453.66 = 3,706.66/x
  3. Step 3: Cross multiply
    6,850.48x = 9,453.66 × 3,706.66
  4. Step 4: Simplify right side
    6,850.48x = 35,041,503.38
  5. Step 5: Solve for x
    x = 35,041,503.38/6,850.48
  6. Step 6: Final answer
    x = 5,115.19

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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.