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Finding the Fourth Proportional to 6,838.98, 10,258.74 and 1,909.32

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Solution

The fourth proportional to 6,838.98, 10,258.74 and 1,909.32 is: 2,864.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.98 : 10,258.74 = 1,909.32 : x
  2. Step 2: Convert to fraction form
    6,838.98/10,258.74 = 1,909.32/x
  3. Step 3: Cross multiply
    6,838.98x = 10,258.74 × 1,909.32
  4. Step 4: Simplify right side
    6,838.98x = 19,587,217.46
  5. Step 5: Solve for x
    x = 19,587,217.46/6,838.98
  6. Step 6: Final answer
    x = 2,864.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.