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Finding the Fourth Proportional to 6,743.17, 9,305.69 and 3,758.91

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Solution

The fourth proportional to 6,743.17, 9,305.69 and 3,758.91 is: 5,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.17 : 9,305.69 = 3,758.91 : x
  2. Step 2: Convert to fraction form
    6,743.17/9,305.69 = 3,758.91/x
  3. Step 3: Cross multiply
    6,743.17x = 9,305.69 × 3,758.91
  4. Step 4: Simplify right side
    6,743.17x = 34,979,197.51
  5. Step 5: Solve for x
    x = 34,979,197.51/6,743.17
  6. Step 6: Final answer
    x = 5,187.35

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1.5x scale

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.