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Finding the Fourth Proportional to 10,659.85, 14,709.93 and 6,183.38

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Solution

The fourth proportional to 10,659.85, 14,709.93 and 6,183.38 is: 8,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.85 : 14,709.93 = 6,183.38 : x
  2. Step 2: Convert to fraction form
    10,659.85/14,709.93 = 6,183.38/x
  3. Step 3: Cross multiply
    10,659.85x = 14,709.93 × 6,183.38
  4. Step 4: Simplify right side
    10,659.85x = 90,957,086.96
  5. Step 5: Solve for x
    x = 90,957,086.96/10,659.85
  6. Step 6: Final answer
    x = 8,532.68

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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.