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Finding the Fourth Proportional to 6,998.09, 9,651.83 and 4,950.38

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Solution

The fourth proportional to 6,998.09, 9,651.83 and 4,950.38 is: 6,827.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.09 : 9,651.83 = 4,950.38 : x
  2. Step 2: Convert to fraction form
    6,998.09/9,651.83 = 4,950.38/x
  3. Step 3: Cross multiply
    6,998.09x = 9,651.83 × 4,950.38
  4. Step 4: Simplify right side
    6,998.09x = 47,780,225.57
  5. Step 5: Solve for x
    x = 47,780,225.57/6,998.09
  6. Step 6: Final answer
    x = 6,827.61

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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.