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Finding the Fourth Proportional to 6,717.98, 9,270.81 and 3,733.81

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Solution

The fourth proportional to 6,717.98, 9,270.81 and 3,733.81 is: 5,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,717.98 : 9,270.81 = 3,733.81 : x
  2. Step 2: Convert to fraction form
    6,717.98/9,270.81 = 3,733.81/x
  3. Step 3: Cross multiply
    6,717.98x = 9,270.81 × 3,733.81
  4. Step 4: Simplify right side
    6,717.98x = 34,615,448.71
  5. Step 5: Solve for x
    x = 34,615,448.71/6,717.98
  6. Step 6: Final answer
    x = 5,152.66

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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.