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Finding the Fourth Proportional to 18,549, 25,597.62 and 10,165.32

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Solution

The fourth proportional to 18,549, 25,597.62 and 10,165.32 is: 14,028.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549 : 25,597.62 = 10,165.32 : x
  2. Step 2: Convert to fraction form
    18,549/25,597.62 = 10,165.32/x
  3. Step 3: Cross multiply
    18,549x = 25,597.62 × 10,165.32
  4. Step 4: Simplify right side
    18,549x = 260,207,998.54
  5. Step 5: Solve for x
    x = 260,207,998.54/18,549
  6. Step 6: Final answer
    x = 14,028.14

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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.