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Finding the Fourth Proportional to 13,693.86, 18,897.84 and 7,724.97

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Solution

The fourth proportional to 13,693.86, 18,897.84 and 7,724.97 is: 10,660.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.86 : 18,897.84 = 7,724.97 : x
  2. Step 2: Convert to fraction form
    13,693.86/18,897.84 = 7,724.97/x
  3. Step 3: Cross multiply
    13,693.86x = 18,897.84 × 7,724.97
  4. Step 4: Simplify right side
    13,693.86x = 145,985,247.06
  5. Step 5: Solve for x
    x = 145,985,247.06/13,693.86
  6. Step 6: Final answer
    x = 10,660.64

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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.