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Finding the Fourth Proportional to 7,863.79, 11,795.66 and 2,317.13

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Solution

The fourth proportional to 7,863.79, 11,795.66 and 2,317.13 is: 3,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.79 : 11,795.66 = 2,317.13 : x
  2. Step 2: Convert to fraction form
    7,863.79/11,795.66 = 2,317.13/x
  3. Step 3: Cross multiply
    7,863.79x = 11,795.66 × 2,317.13
  4. Step 4: Simplify right side
    7,863.79x = 27,332,053.96
  5. Step 5: Solve for x
    x = 27,332,053.96/7,863.79
  6. Step 6: Final answer
    x = 3,475.68

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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.