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Finding the Fourth Proportional to 27,296.76, 40,945.14 and 7,575.48

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Solution

The fourth proportional to 27,296.76, 40,945.14 and 7,575.48 is: 11,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,296.76 : 40,945.14 = 7,575.48 : x
  2. Step 2: Convert to fraction form
    27,296.76/40,945.14 = 7,575.48/x
  3. Step 3: Cross multiply
    27,296.76x = 40,945.14 × 7,575.48
  4. Step 4: Simplify right side
    27,296.76x = 310,179,089.17
  5. Step 5: Solve for x
    x = 310,179,089.17/27,296.76
  6. Step 6: Final answer
    x = 11,363.22

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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.