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Finding the Fourth Proportional to 12,883.78, 17,769.94 and 8,639.65

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Solution

The fourth proportional to 12,883.78, 17,769.94 and 8,639.65 is: 11,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.78 : 17,769.94 = 8,639.65 : x
  2. Step 2: Convert to fraction form
    12,883.78/17,769.94 = 8,639.65/x
  3. Step 3: Cross multiply
    12,883.78x = 17,769.94 × 8,639.65
  4. Step 4: Simplify right side
    12,883.78x = 153,526,062.12
  5. Step 5: Solve for x
    x = 153,526,062.12/12,883.78
  6. Step 6: Final answer
    x = 11,916.23

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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.