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Finding the Fourth Proportional to 13,602.41, 18,770.85 and 7,634.42

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Solution

The fourth proportional to 13,602.41, 18,770.85 and 7,634.42 is: 10,535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.41 : 18,770.85 = 7,634.42 : x
  2. Step 2: Convert to fraction form
    13,602.41/18,770.85 = 7,634.42/x
  3. Step 3: Cross multiply
    13,602.41x = 18,770.85 × 7,634.42
  4. Step 4: Simplify right side
    13,602.41x = 143,304,552.66
  5. Step 5: Solve for x
    x = 143,304,552.66/13,602.41
  6. Step 6: Final answer
    x = 10,535.23

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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.