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Finding the Fourth Proportional to 27,458.17, 41,189 and 9,686.63

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Solution

The fourth proportional to 27,458.17, 41,189 and 9,686.63 is: 14,530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,458.17 : 41,189 = 9,686.63 : x
  2. Step 2: Convert to fraction form
    27,458.17/41,189 = 9,686.63/x
  3. Step 3: Cross multiply
    27,458.17x = 41,189 × 9,686.63
  4. Step 4: Simplify right side
    27,458.17x = 398,982,603.07
  5. Step 5: Solve for x
    x = 398,982,603.07/27,458.17
  6. Step 6: Final answer
    x = 14,530.56

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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.