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Finding the Fourth Proportional to 11,644.56, 17,444.97 and 9,034.74

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Solution

The fourth proportional to 11,644.56, 17,444.97 and 9,034.74 is: 13,535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.56 : 17,444.97 = 9,034.74 : x
  2. Step 2: Convert to fraction form
    11,644.56/17,444.97 = 9,034.74/x
  3. Step 3: Cross multiply
    11,644.56x = 17,444.97 × 9,034.74
  4. Step 4: Simplify right side
    11,644.56x = 157,610,768.26
  5. Step 5: Solve for x
    x = 157,610,768.26/11,644.56
  6. Step 6: Final answer
    x = 13,535.14

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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.