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Finding the Fourth Proportional to 7,071, 9,758.07 and 3,927.12

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Solution

The fourth proportional to 7,071, 9,758.07 and 3,927.12 is: 5,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071 : 9,758.07 = 3,927.12 : x
  2. Step 2: Convert to fraction form
    7,071/9,758.07 = 3,927.12/x
  3. Step 3: Cross multiply
    7,071x = 9,758.07 × 3,927.12
  4. Step 4: Simplify right side
    7,071x = 38,321,111.86
  5. Step 5: Solve for x
    x = 38,321,111.86/7,071
  6. Step 6: Final answer
    x = 5,419.48

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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.