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Finding the Fourth Proportional to 6,742.93, 9,305.27 and 3,758.74

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Solution

The fourth proportional to 6,742.93, 9,305.27 and 3,758.74 is: 5,187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.93 : 9,305.27 = 3,758.74 : x
  2. Step 2: Convert to fraction form
    6,742.93/9,305.27 = 3,758.74/x
  3. Step 3: Cross multiply
    6,742.93x = 9,305.27 × 3,758.74
  4. Step 4: Simplify right side
    6,742.93x = 34,976,053.43
  5. Step 5: Solve for x
    x = 34,976,053.43/6,742.93
  6. Step 6: Final answer
    x = 5,187.07

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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.