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Finding the Fourth Proportional to 10,667, 14,720.46 and 5,951.28

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Solution

The fourth proportional to 10,667, 14,720.46 and 5,951.28 is: 8,212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667 : 14,720.46 = 5,951.28 : x
  2. Step 2: Convert to fraction form
    10,667/14,720.46 = 5,951.28/x
  3. Step 3: Cross multiply
    10,667x = 14,720.46 × 5,951.28
  4. Step 4: Simplify right side
    10,667x = 87,605,579.19
  5. Step 5: Solve for x
    x = 87,605,579.19/10,667
  6. Step 6: Final answer
    x = 8,212.77

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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.