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Finding the Fourth Proportional to 6,708.51, 9,255.84 and 4,193.17

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Solution

The fourth proportional to 6,708.51, 9,255.84 and 4,193.17 is: 5,785.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.51 : 9,255.84 = 4,193.17 : x
  2. Step 2: Convert to fraction form
    6,708.51/9,255.84 = 4,193.17/x
  3. Step 3: Cross multiply
    6,708.51x = 9,255.84 × 4,193.17
  4. Step 4: Simplify right side
    6,708.51x = 38,811,274.82
  5. Step 5: Solve for x
    x = 38,811,274.82/6,708.51
  6. Step 6: Final answer
    x = 5,785.38

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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.