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Finding the Fourth Proportional to 6,699.96, 9,224.91 and 5,689.56

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Solution

The fourth proportional to 6,699.96, 9,224.91 and 5,689.56 is: 7,833.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699.96 : 9,224.91 = 5,689.56 : x
  2. Step 2: Convert to fraction form
    6,699.96/9,224.91 = 5,689.56/x
  3. Step 3: Cross multiply
    6,699.96x = 9,224.91 × 5,689.56
  4. Step 4: Simplify right side
    6,699.96x = 52,485,678.94
  5. Step 5: Solve for x
    x = 52,485,678.94/6,699.96
  6. Step 6: Final answer
    x = 7,833.73

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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.