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Finding the Fourth Proportional to 6,886.36, 9,502.56 and 3,902.32

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Solution

The fourth proportional to 6,886.36, 9,502.56 and 3,902.32 is: 5,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.36 : 9,502.56 = 3,902.32 : x
  2. Step 2: Convert to fraction form
    6,886.36/9,502.56 = 3,902.32/x
  3. Step 3: Cross multiply
    6,886.36x = 9,502.56 × 3,902.32
  4. Step 4: Simplify right side
    6,886.36x = 37,082,029.94
  5. Step 5: Solve for x
    x = 37,082,029.94/6,886.36
  6. Step 6: Final answer
    x = 5,384.85

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1.5x scale

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.