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Finding the Fourth Proportional to 12,164.95, 16,787.60 and 6,859.73

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Solution

The fourth proportional to 12,164.95, 16,787.60 and 6,859.73 is: 9,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.95 : 16,787.60 = 6,859.73 : x
  2. Step 2: Convert to fraction form
    12,164.95/16,787.60 = 6,859.73/x
  3. Step 3: Cross multiply
    12,164.95x = 16,787.60 × 6,859.73
  4. Step 4: Simplify right side
    12,164.95x = 115,158,428.11
  5. Step 5: Solve for x
    x = 115,158,428.11/12,164.95
  6. Step 6: Final answer
    x = 9,466.41

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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.