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Finding the Fourth Proportional to 7,858.50, 10,844.73 and 4,321.71

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Solution

The fourth proportional to 7,858.50, 10,844.73 and 4,321.71 is: 5,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.50 : 10,844.73 = 4,321.71 : x
  2. Step 2: Convert to fraction form
    7,858.50/10,844.73 = 4,321.71/x
  3. Step 3: Cross multiply
    7,858.50x = 10,844.73 × 4,321.71
  4. Step 4: Simplify right side
    7,858.50x = 46,867,778.09
  5. Step 5: Solve for x
    x = 46,867,778.09/7,858.50
  6. Step 6: Final answer
    x = 5,963.96

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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.