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Finding the Fourth Proportional to 18,286.50, 25,235.46 and 9,903

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Solution

The fourth proportional to 18,286.50, 25,235.46 and 9,903 is: 13,666.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,286.50 : 25,235.46 = 9,903 : x
  2. Step 2: Convert to fraction form
    18,286.50/25,235.46 = 9,903/x
  3. Step 3: Cross multiply
    18,286.50x = 25,235.46 × 9,903
  4. Step 4: Simplify right side
    18,286.50x = 249,906,760.38
  5. Step 5: Solve for x
    x = 249,906,760.38/18,286.50
  6. Step 6: Final answer
    x = 13,666.19

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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.