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Finding the Fourth Proportional to 10,146.93, 14,007.07 and 6,169.31

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Solution

The fourth proportional to 10,146.93, 14,007.07 and 6,169.31 is: 8,516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.93 : 14,007.07 = 6,169.31 : x
  2. Step 2: Convert to fraction form
    10,146.93/14,007.07 = 6,169.31/x
  3. Step 3: Cross multiply
    10,146.93x = 14,007.07 × 6,169.31
  4. Step 4: Simplify right side
    10,146.93x = 86,413,906.58
  5. Step 5: Solve for x
    x = 86,413,906.58/10,146.93
  6. Step 6: Final answer
    x = 8,516.27

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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.