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Finding the Fourth Proportional to 4,638.96, 6,398.03 and 4,078.24

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Solution

The fourth proportional to 4,638.96, 6,398.03 and 4,078.24 is: 5,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.96 : 6,398.03 = 4,078.24 : x
  2. Step 2: Convert to fraction form
    4,638.96/6,398.03 = 4,078.24/x
  3. Step 3: Cross multiply
    4,638.96x = 6,398.03 × 4,078.24
  4. Step 4: Simplify right side
    4,638.96x = 26,092,701.87
  5. Step 5: Solve for x
    x = 26,092,701.87/4,638.96
  6. Step 6: Final answer
    x = 5,624.69

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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.