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Finding the Fourth Proportional to 12,542.82, 17,309.12 and 6,953.82

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Solution

The fourth proportional to 12,542.82, 17,309.12 and 6,953.82 is: 9,596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.82 : 17,309.12 = 6,953.82 : x
  2. Step 2: Convert to fraction form
    12,542.82/17,309.12 = 6,953.82/x
  3. Step 3: Cross multiply
    12,542.82x = 17,309.12 × 6,953.82
  4. Step 4: Simplify right side
    12,542.82x = 120,364,470.07
  5. Step 5: Solve for x
    x = 120,364,470.07/12,542.82
  6. Step 6: Final answer
    x = 9,596.28

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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.