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Finding the Fourth Proportional to 7,116.92, 9,821.73 and 4,133.69

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Solution

The fourth proportional to 7,116.92, 9,821.73 and 4,133.69 is: 5,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.92 : 9,821.73 = 4,133.69 : x
  2. Step 2: Convert to fraction form
    7,116.92/9,821.73 = 4,133.69/x
  3. Step 3: Cross multiply
    7,116.92x = 9,821.73 × 4,133.69
  4. Step 4: Simplify right side
    7,116.92x = 40,599,987.08
  5. Step 5: Solve for x
    x = 40,599,987.08/7,116.92
  6. Step 6: Final answer
    x = 5,704.71

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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.