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Finding the Fourth Proportional to 6,804, 9,391.14 and 4,153.64

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Solution

The fourth proportional to 6,804, 9,391.14 and 4,153.64 is: 5,733.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804 : 9,391.14 = 4,153.64 : x
  2. Step 2: Convert to fraction form
    6,804/9,391.14 = 4,153.64/x
  3. Step 3: Cross multiply
    6,804x = 9,391.14 × 4,153.64
  4. Step 4: Simplify right side
    6,804x = 39,007,367.79
  5. Step 5: Solve for x
    x = 39,007,367.79/6,804
  6. Step 6: Final answer
    x = 5,733.01

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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.