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Finding the Fourth Proportional to 7,071.76, 9,758.23 and 4,381.76

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Solution

The fourth proportional to 7,071.76, 9,758.23 and 4,381.76 is: 6,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.76 : 9,758.23 = 4,381.76 : x
  2. Step 2: Convert to fraction form
    7,071.76/9,758.23 = 4,381.76/x
  3. Step 3: Cross multiply
    7,071.76x = 9,758.23 × 4,381.76
  4. Step 4: Simplify right side
    7,071.76x = 42,758,221.88
  5. Step 5: Solve for x
    x = 42,758,221.88/7,071.76
  6. Step 6: Final answer
    x = 6,046.33

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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.