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Finding the Fourth Proportional to 13,493.76, 18,616.50 and 7,825.38

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Solution

The fourth proportional to 13,493.76, 18,616.50 and 7,825.38 is: 10,796.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.76 : 18,616.50 = 7,825.38 : x
  2. Step 2: Convert to fraction form
    13,493.76/18,616.50 = 7,825.38/x
  3. Step 3: Cross multiply
    13,493.76x = 18,616.50 × 7,825.38
  4. Step 4: Simplify right side
    13,493.76x = 145,681,186.77
  5. Step 5: Solve for x
    x = 145,681,186.77/13,493.76
  6. Step 6: Final answer
    x = 10,796.19

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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.