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Finding the Fourth Proportional to 6,368.24, 9,486.69 and 6,174.78

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Solution

The fourth proportional to 6,368.24, 9,486.69 and 6,174.78 is: 9,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.24 : 9,486.69 = 6,174.78 : x
  2. Step 2: Convert to fraction form
    6,368.24/9,486.69 = 6,174.78/x
  3. Step 3: Cross multiply
    6,368.24x = 9,486.69 × 6,174.78
  4. Step 4: Simplify right side
    6,368.24x = 58,578,223.68
  5. Step 5: Solve for x
    x = 58,578,223.68/6,368.24
  6. Step 6: Final answer
    x = 9,198.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.