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Finding the Fourth Proportional to 9,600.42, 14,398.48 and 3,444.42

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Solution

The fourth proportional to 9,600.42, 14,398.48 and 3,444.42 is: 5,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.42 : 14,398.48 = 3,444.42 : x
  2. Step 2: Convert to fraction form
    9,600.42/14,398.48 = 3,444.42/x
  3. Step 3: Cross multiply
    9,600.42x = 14,398.48 × 3,444.42
  4. Step 4: Simplify right side
    9,600.42x = 49,594,451.41
  5. Step 5: Solve for x
    x = 49,594,451.41/9,600.42
  6. Step 6: Final answer
    x = 5,165.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.