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Finding the Fourth Proportional to 6,902.29, 9,524.82 and 3,918.08

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Solution

The fourth proportional to 6,902.29, 9,524.82 and 3,918.08 is: 5,406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.29 : 9,524.82 = 3,918.08 : x
  2. Step 2: Convert to fraction form
    6,902.29/9,524.82 = 3,918.08/x
  3. Step 3: Cross multiply
    6,902.29x = 9,524.82 × 3,918.08
  4. Step 4: Simplify right side
    6,902.29x = 37,319,045.25
  5. Step 5: Solve for x
    x = 37,319,045.25/6,902.29
  6. Step 6: Final answer
    x = 5,406.76

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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.