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Finding the Fourth Proportional to 6,358.14, 9,522.63 and 5,998.50

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Solution

The fourth proportional to 6,358.14, 9,522.63 and 5,998.50 is: 8,983.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.14 : 9,522.63 = 5,998.50 : x
  2. Step 2: Convert to fraction form
    6,358.14/9,522.63 = 5,998.50/x
  3. Step 3: Cross multiply
    6,358.14x = 9,522.63 × 5,998.50
  4. Step 4: Simplify right side
    6,358.14x = 57,121,496.06
  5. Step 5: Solve for x
    x = 57,121,496.06/6,358.14
  6. Step 6: Final answer
    x = 8,983.99

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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.