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Finding the Fourth Proportional to 6,866.52, 9,475.97 and 4,176.81

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Solution

The fourth proportional to 6,866.52, 9,475.97 and 4,176.81 is: 5,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.52 : 9,475.97 = 4,176.81 : x
  2. Step 2: Convert to fraction form
    6,866.52/9,475.97 = 4,176.81/x
  3. Step 3: Cross multiply
    6,866.52x = 9,475.97 × 4,176.81
  4. Step 4: Simplify right side
    6,866.52x = 39,579,305.37
  5. Step 5: Solve for x
    x = 39,579,305.37/6,866.52
  6. Step 6: Final answer
    x = 5,764.10

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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.