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Finding the Fourth Proportional to 6,994.91, 9,653.38 and 4,010.72

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Solution

The fourth proportional to 6,994.91, 9,653.38 and 4,010.72 is: 5,535.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.91 : 9,653.38 = 4,010.72 : x
  2. Step 2: Convert to fraction form
    6,994.91/9,653.38 = 4,010.72/x
  3. Step 3: Cross multiply
    6,994.91x = 9,653.38 × 4,010.72
  4. Step 4: Simplify right side
    6,994.91x = 38,716,945.94
  5. Step 5: Solve for x
    x = 38,716,945.94/6,994.91
  6. Step 6: Final answer
    x = 5,535.02

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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.