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Finding the Fourth Proportional to 6,238.62, 9,351.86 and 5,071.01

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Solution

The fourth proportional to 6,238.62, 9,351.86 and 5,071.01 is: 7,601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.62 : 9,351.86 = 5,071.01 : x
  2. Step 2: Convert to fraction form
    6,238.62/9,351.86 = 5,071.01/x
  3. Step 3: Cross multiply
    6,238.62x = 9,351.86 × 5,071.01
  4. Step 4: Simplify right side
    6,238.62x = 47,423,303.46
  5. Step 5: Solve for x
    x = 47,423,303.46/6,238.62
  6. Step 6: Final answer
    x = 7,601.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.