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Finding the Fourth Proportional to 9,097.61, 13,644.90 and 2,524.46

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Solution

The fourth proportional to 9,097.61, 13,644.90 and 2,524.46 is: 3,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.61 : 13,644.90 = 2,524.46 : x
  2. Step 2: Convert to fraction form
    9,097.61/13,644.90 = 2,524.46/x
  3. Step 3: Cross multiply
    9,097.61x = 13,644.90 × 2,524.46
  4. Step 4: Simplify right side
    9,097.61x = 34,446,004.25
  5. Step 5: Solve for x
    x = 34,446,004.25/9,097.61
  6. Step 6: Final answer
    x = 3,786.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.