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Finding the Fourth Proportional to 8,569, 11,826.84 and 4,843

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Solution

The fourth proportional to 8,569, 11,826.84 and 4,843 is: 6,684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569 : 11,826.84 = 4,843 : x
  2. Step 2: Convert to fraction form
    8,569/11,826.84 = 4,843/x
  3. Step 3: Cross multiply
    8,569x = 11,826.84 × 4,843
  4. Step 4: Simplify right side
    8,569x = 57,277,386.12
  5. Step 5: Solve for x
    x = 57,277,386.12/8,569
  6. Step 6: Final answer
    x = 6,684.26

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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.