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Finding the Fourth Proportional to 13,693.11, 18,896.14 and 7,724.31

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Solution

The fourth proportional to 13,693.11, 18,896.14 and 7,724.31 is: 10,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.11 : 18,896.14 = 7,724.31 : x
  2. Step 2: Convert to fraction form
    13,693.11/18,896.14 = 7,724.31/x
  3. Step 3: Cross multiply
    13,693.11x = 18,896.14 × 7,724.31
  4. Step 4: Simplify right side
    13,693.11x = 145,959,643.16
  5. Step 5: Solve for x
    x = 145,959,643.16/13,693.11
  6. Step 6: Final answer
    x = 10,659.35

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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.