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Finding the Fourth Proportional to 9,743.82, 14,516.05 and 9,273.61

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Solution

The fourth proportional to 9,743.82, 14,516.05 and 9,273.61 is: 13,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.82 : 14,516.05 = 9,273.61 : x
  2. Step 2: Convert to fraction form
    9,743.82/14,516.05 = 9,273.61/x
  3. Step 3: Cross multiply
    9,743.82x = 14,516.05 × 9,273.61
  4. Step 4: Simplify right side
    9,743.82x = 134,616,186.44
  5. Step 5: Solve for x
    x = 134,616,186.44/9,743.82
  6. Step 6: Final answer
    x = 13,815.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.