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Finding the Fourth Proportional to 6,670.51, 9,206.22 and 3,837.83

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Solution

The fourth proportional to 6,670.51, 9,206.22 and 3,837.83 is: 5,296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.51 : 9,206.22 = 3,837.83 : x
  2. Step 2: Convert to fraction form
    6,670.51/9,206.22 = 3,837.83/x
  3. Step 3: Cross multiply
    6,670.51x = 9,206.22 × 3,837.83
  4. Step 4: Simplify right side
    6,670.51x = 35,331,911.26
  5. Step 5: Solve for x
    x = 35,331,911.26/6,670.51
  6. Step 6: Final answer
    x = 5,296.74

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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.