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Finding the Fourth Proportional to 6,353.96, 8,768.48 and 3,703.20

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Solution

The fourth proportional to 6,353.96, 8,768.48 and 3,703.20 is: 5,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.96 : 8,768.48 = 3,703.20 : x
  2. Step 2: Convert to fraction form
    6,353.96/8,768.48 = 3,703.20/x
  3. Step 3: Cross multiply
    6,353.96x = 8,768.48 × 3,703.20
  4. Step 4: Simplify right side
    6,353.96x = 32,471,435.14
  5. Step 5: Solve for x
    x = 32,471,435.14/6,353.96
  6. Step 6: Final answer
    x = 5,110.42

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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.