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Finding the Fourth Proportional to 7,071.75, 9,759.42 and 3,928.14

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Solution

The fourth proportional to 7,071.75, 9,759.42 and 3,928.14 is: 5,421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.75 : 9,759.42 = 3,928.14 : x
  2. Step 2: Convert to fraction form
    7,071.75/9,759.42 = 3,928.14/x
  3. Step 3: Cross multiply
    7,071.75x = 9,759.42 × 3,928.14
  4. Step 4: Simplify right side
    7,071.75x = 38,336,368.08
  5. Step 5: Solve for x
    x = 38,336,368.08/7,071.75
  6. Step 6: Final answer
    x = 5,421.06

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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.