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Finding the Fourth Proportional to 10,671.92, 14,728.20 and 5,956.64

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Solution

The fourth proportional to 10,671.92, 14,728.20 and 5,956.64 is: 8,220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.92 : 14,728.20 = 5,956.64 : x
  2. Step 2: Convert to fraction form
    10,671.92/14,728.20 = 5,956.64/x
  3. Step 3: Cross multiply
    10,671.92x = 14,728.20 × 5,956.64
  4. Step 4: Simplify right side
    10,671.92x = 87,730,585.25
  5. Step 5: Solve for x
    x = 87,730,585.25/10,671.92
  6. Step 6: Final answer
    x = 8,220.69

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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.