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Finding the Fourth Proportional to 9,791.52, 13,508.23 and 7,279.63

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Solution

The fourth proportional to 9,791.52, 13,508.23 and 7,279.63 is: 10,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.52 : 13,508.23 = 7,279.63 : x
  2. Step 2: Convert to fraction form
    9,791.52/13,508.23 = 7,279.63/x
  3. Step 3: Cross multiply
    9,791.52x = 13,508.23 × 7,279.63
  4. Step 4: Simplify right side
    9,791.52x = 98,334,960.22
  5. Step 5: Solve for x
    x = 98,334,960.22/9,791.52
  6. Step 6: Final answer
    x = 10,042.87

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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.