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Finding the Fourth Proportional to 11,447.60, 15,797.22 and 6,411.74

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Solution

The fourth proportional to 11,447.60, 15,797.22 and 6,411.74 is: 8,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.60 : 15,797.22 = 6,411.74 : x
  2. Step 2: Convert to fraction form
    11,447.60/15,797.22 = 6,411.74/x
  3. Step 3: Cross multiply
    11,447.60x = 15,797.22 × 6,411.74
  4. Step 4: Simplify right side
    11,447.60x = 101,287,667.36
  5. Step 5: Solve for x
    x = 101,287,667.36/11,447.60
  6. Step 6: Final answer
    x = 8,847.94

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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.