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Finding the Fourth Proportional to 6,743.82, 9,305.34 and 4,502.10

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Solution

The fourth proportional to 6,743.82, 9,305.34 and 4,502.10 is: 6,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.82 : 9,305.34 = 4,502.10 : x
  2. Step 2: Convert to fraction form
    6,743.82/9,305.34 = 4,502.10/x
  3. Step 3: Cross multiply
    6,743.82x = 9,305.34 × 4,502.10
  4. Step 4: Simplify right side
    6,743.82x = 41,893,571.21
  5. Step 5: Solve for x
    x = 41,893,571.21/6,743.82
  6. Step 6: Final answer
    x = 6,212.14

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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.