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Finding the Fourth Proportional to 13,706.69, 18,916.54 and 8,671.12

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Solution

The fourth proportional to 13,706.69, 18,916.54 and 8,671.12 is: 11,966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.69 : 18,916.54 = 8,671.12 : x
  2. Step 2: Convert to fraction form
    13,706.69/18,916.54 = 8,671.12/x
  3. Step 3: Cross multiply
    13,706.69x = 18,916.54 × 8,671.12
  4. Step 4: Simplify right side
    13,706.69x = 164,027,519.36
  5. Step 5: Solve for x
    x = 164,027,519.36/13,706.69
  6. Step 6: Final answer
    x = 11,966.97

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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.