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Finding the Fourth Proportional to 12,164.76, 16,787.30 and 6,787.17

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Solution

The fourth proportional to 12,164.76, 16,787.30 and 6,787.17 is: 9,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.76 : 16,787.30 = 6,787.17 : x
  2. Step 2: Convert to fraction form
    12,164.76/16,787.30 = 6,787.17/x
  3. Step 3: Cross multiply
    12,164.76x = 16,787.30 × 6,787.17
  4. Step 4: Simplify right side
    12,164.76x = 113,938,225.01
  5. Step 5: Solve for x
    x = 113,938,225.01/12,164.76
  6. Step 6: Final answer
    x = 9,366.25

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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.