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Finding the Fourth Proportional to 11,959.98, 17,953.83 and 6,424.17

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Solution

The fourth proportional to 11,959.98, 17,953.83 and 6,424.17 is: 9,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.98 : 17,953.83 = 6,424.17 : x
  2. Step 2: Convert to fraction form
    11,959.98/17,953.83 = 6,424.17/x
  3. Step 3: Cross multiply
    11,959.98x = 17,953.83 × 6,424.17
  4. Step 4: Simplify right side
    11,959.98x = 115,338,456.07
  5. Step 5: Solve for x
    x = 115,338,456.07/11,959.98
  6. Step 6: Final answer
    x = 9,643.70

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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.