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Finding the Fourth Proportional to 6,146.29, 9,165.94 and 5,801.23

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Solution

The fourth proportional to 6,146.29, 9,165.94 and 5,801.23 is: 8,651.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.29 : 9,165.94 = 5,801.23 : x
  2. Step 2: Convert to fraction form
    6,146.29/9,165.94 = 5,801.23/x
  3. Step 3: Cross multiply
    6,146.29x = 9,165.94 × 5,801.23
  4. Step 4: Simplify right side
    6,146.29x = 53,173,740.61
  5. Step 5: Solve for x
    x = 53,173,740.61/6,146.29
  6. Step 6: Final answer
    x = 8,651.36

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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.