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Finding the Fourth Proportional to 6,838.60, 10,272.30 and 6,593.80

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Solution

The fourth proportional to 6,838.60, 10,272.30 and 6,593.80 is: 9,904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.60 : 10,272.30 = 6,593.80 : x
  2. Step 2: Convert to fraction form
    6,838.60/10,272.30 = 6,593.80/x
  3. Step 3: Cross multiply
    6,838.60x = 10,272.30 × 6,593.80
  4. Step 4: Simplify right side
    6,838.60x = 67,733,491.74
  5. Step 5: Solve for x
    x = 67,733,491.74/6,838.60
  6. Step 6: Final answer
    x = 9,904.58

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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.