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Finding the Fourth Proportional to 6,914.58, 9,542.46 and 4,082.22

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Solution

The fourth proportional to 6,914.58, 9,542.46 and 4,082.22 is: 5,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.58 : 9,542.46 = 4,082.22 : x
  2. Step 2: Convert to fraction form
    6,914.58/9,542.46 = 4,082.22/x
  3. Step 3: Cross multiply
    6,914.58x = 9,542.46 × 4,082.22
  4. Step 4: Simplify right side
    6,914.58x = 38,954,421.06
  5. Step 5: Solve for x
    x = 38,954,421.06/6,914.58
  6. Step 6: Final answer
    x = 5,633.66

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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.