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Finding the Fourth Proportional to 7,071.56, 9,758.10 and 3,927.56

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Solution

The fourth proportional to 7,071.56, 9,758.10 and 3,927.56 is: 5,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.56 : 9,758.10 = 3,927.56 : x
  2. Step 2: Convert to fraction form
    7,071.56/9,758.10 = 3,927.56/x
  3. Step 3: Cross multiply
    7,071.56x = 9,758.10 × 3,927.56
  4. Step 4: Simplify right side
    7,071.56x = 38,325,523.24
  5. Step 5: Solve for x
    x = 38,325,523.24/7,071.56
  6. Step 6: Final answer
    x = 5,419.67

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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.