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Finding the Fourth Proportional to 12,896.88, 17,787.66 and 8,646.54

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Solution

The fourth proportional to 12,896.88, 17,787.66 and 8,646.54 is: 11,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.88 : 17,787.66 = 8,646.54 : x
  2. Step 2: Convert to fraction form
    12,896.88/17,787.66 = 8,646.54/x
  3. Step 3: Cross multiply
    12,896.88x = 17,787.66 × 8,646.54
  4. Step 4: Simplify right side
    12,896.88x = 153,801,713.70
  5. Step 5: Solve for x
    x = 153,801,713.70/12,896.88
  6. Step 6: Final answer
    x = 11,925.50

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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.