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Finding the Fourth Proportional to 7,071.39, 9,758.16 and 3,927.42

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Solution

The fourth proportional to 7,071.39, 9,758.16 and 3,927.42 is: 5,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.39 : 9,758.16 = 3,927.42 : x
  2. Step 2: Convert to fraction form
    7,071.39/9,758.16 = 3,927.42/x
  3. Step 3: Cross multiply
    7,071.39x = 9,758.16 × 3,927.42
  4. Step 4: Simplify right side
    7,071.39x = 38,324,392.75
  5. Step 5: Solve for x
    x = 38,324,392.75/7,071.39
  6. Step 6: Final answer
    x = 5,419.64

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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.