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Finding the Fourth Proportional to 6,914.93, 9,542.64 and 3,771.11

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Solution

The fourth proportional to 6,914.93, 9,542.64 and 3,771.11 is: 5,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.93 : 9,542.64 = 3,771.11 : x
  2. Step 2: Convert to fraction form
    6,914.93/9,542.64 = 3,771.11/x
  3. Step 3: Cross multiply
    6,914.93x = 9,542.64 × 3,771.11
  4. Step 4: Simplify right side
    6,914.93x = 35,986,297.42
  5. Step 5: Solve for x
    x = 35,986,297.42/6,914.93
  6. Step 6: Final answer
    x = 5,204.15

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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.