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Finding the Fourth Proportional to 10,659.72, 14,709.78 and 6,183.12

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Solution

The fourth proportional to 10,659.72, 14,709.78 and 6,183.12 is: 8,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.72 : 14,709.78 = 6,183.12 : x
  2. Step 2: Convert to fraction form
    10,659.72/14,709.78 = 6,183.12/x
  3. Step 3: Cross multiply
    10,659.72x = 14,709.78 × 6,183.12
  4. Step 4: Simplify right side
    10,659.72x = 90,952,334.91
  5. Step 5: Solve for x
    x = 90,952,334.91/10,659.72
  6. Step 6: Final answer
    x = 8,532.34

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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.