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Finding the Fourth Proportional to 7,071.03, 9,758.01 and 3,927.22

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Solution

The fourth proportional to 7,071.03, 9,758.01 and 3,927.22 is: 5,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.03 : 9,758.01 = 3,927.22 : x
  2. Step 2: Convert to fraction form
    7,071.03/9,758.01 = 3,927.22/x
  3. Step 3: Cross multiply
    7,071.03x = 9,758.01 × 3,927.22
  4. Step 4: Simplify right side
    7,071.03x = 38,321,827.64
  5. Step 5: Solve for x
    x = 38,321,827.64/7,071.03
  6. Step 6: Final answer
    x = 5,419.55

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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.