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Finding the Fourth Proportional to 7,857.95, 10,844.01 and 4,321.39

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Solution

The fourth proportional to 7,857.95, 10,844.01 and 4,321.39 is: 5,963.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.95 : 10,844.01 = 4,321.39 : x
  2. Step 2: Convert to fraction form
    7,857.95/10,844.01 = 4,321.39/x
  3. Step 3: Cross multiply
    7,857.95x = 10,844.01 × 4,321.39
  4. Step 4: Simplify right side
    7,857.95x = 46,861,169.26
  5. Step 5: Solve for x
    x = 46,861,169.26/7,857.95
  6. Step 6: Final answer
    x = 5,963.53

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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.