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Finding the Fourth Proportional to 4,397.72, 6,069 and 2,408.27

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Solution

The fourth proportional to 4,397.72, 6,069 and 2,408.27 is: 3,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.72 : 6,069 = 2,408.27 : x
  2. Step 2: Convert to fraction form
    4,397.72/6,069 = 2,408.27/x
  3. Step 3: Cross multiply
    4,397.72x = 6,069 × 2,408.27
  4. Step 4: Simplify right side
    4,397.72x = 14,615,790.63
  5. Step 5: Solve for x
    x = 14,615,790.63/4,397.72
  6. Step 6: Final answer
    x = 3,323.49

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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.