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Finding the Fourth Proportional to 9,959.73, 13,741.94 and 6,324.45

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Solution

The fourth proportional to 9,959.73, 13,741.94 and 6,324.45 is: 8,726.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.73 : 13,741.94 = 6,324.45 : x
  2. Step 2: Convert to fraction form
    9,959.73/13,741.94 = 6,324.45/x
  3. Step 3: Cross multiply
    9,959.73x = 13,741.94 × 6,324.45
  4. Step 4: Simplify right side
    9,959.73x = 86,910,212.43
  5. Step 5: Solve for x
    x = 86,910,212.43/9,959.73
  6. Step 6: Final answer
    x = 8,726.16

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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.