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Finding the Fourth Proportional to 6,617.76, 9,923.76 and 1,999.68

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Solution

The fourth proportional to 6,617.76, 9,923.76 and 1,999.68 is: 2,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.76 : 9,923.76 = 1,999.68 : x
  2. Step 2: Convert to fraction form
    6,617.76/9,923.76 = 1,999.68/x
  3. Step 3: Cross multiply
    6,617.76x = 9,923.76 × 1,999.68
  4. Step 4: Simplify right side
    6,617.76x = 19,844,344.40
  5. Step 5: Solve for x
    x = 19,844,344.40/6,617.76
  6. Step 6: Final answer
    x = 2,998.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.