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Finding the Fourth Proportional to 13,693.10, 18,896.10 and 7,724.42

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Solution

The fourth proportional to 13,693.10, 18,896.10 and 7,724.42 is: 10,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.10 : 18,896.10 = 7,724.42 : x
  2. Step 2: Convert to fraction form
    13,693.10/18,896.10 = 7,724.42/x
  3. Step 3: Cross multiply
    13,693.10x = 18,896.10 × 7,724.42
  4. Step 4: Simplify right side
    13,693.10x = 145,961,412.76
  5. Step 5: Solve for x
    x = 145,961,412.76/13,693.10
  6. Step 6: Final answer
    x = 10,659.49

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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.