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Finding the Fourth Proportional to 6,804, 10,230.66 and 6,262.74

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Solution

The fourth proportional to 6,804, 10,230.66 and 6,262.74 is: 9,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804 : 10,230.66 = 6,262.74 : x
  2. Step 2: Convert to fraction form
    6,804/10,230.66 = 6,262.74/x
  3. Step 3: Cross multiply
    6,804x = 10,230.66 × 6,262.74
  4. Step 4: Simplify right side
    6,804x = 64,071,963.61
  5. Step 5: Solve for x
    x = 64,071,963.61/6,804
  6. Step 6: Final answer
    x = 9,416.81

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Why These Related Problems?

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