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Finding the Fourth Proportional to 11,083.64, 15,295.64 and 8,696.46

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Solution

The fourth proportional to 11,083.64, 15,295.64 and 8,696.46 is: 12,001.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,083.64 : 15,295.64 = 8,696.46 : x
  2. Step 2: Convert to fraction form
    11,083.64/15,295.64 = 8,696.46/x
  3. Step 3: Cross multiply
    11,083.64x = 15,295.64 × 8,696.46
  4. Step 4: Simplify right side
    11,083.64x = 133,017,935.31
  5. Step 5: Solve for x
    x = 133,017,935.31/11,083.64
  6. Step 6: Final answer
    x = 12,001.29

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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.