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Finding the Fourth Proportional to 10,659.65, 14,710.07 and 6,183.81

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Solution

The fourth proportional to 10,659.65, 14,710.07 and 6,183.81 is: 8,533.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.65 : 14,710.07 = 6,183.81 : x
  2. Step 2: Convert to fraction form
    10,659.65/14,710.07 = 6,183.81/x
  3. Step 3: Cross multiply
    10,659.65x = 14,710.07 × 6,183.81
  4. Step 4: Simplify right side
    10,659.65x = 90,964,247.05
  5. Step 5: Solve for x
    x = 90,964,247.05/10,659.65
  6. Step 6: Final answer
    x = 8,533.52

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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.