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Finding the Fourth Proportional to 11,787.92, 16,267.92 and 6,483.44

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Solution

The fourth proportional to 11,787.92, 16,267.92 and 6,483.44 is: 8,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.92 : 16,267.92 = 6,483.44 : x
  2. Step 2: Convert to fraction form
    11,787.92/16,267.92 = 6,483.44/x
  3. Step 3: Cross multiply
    11,787.92x = 16,267.92 × 6,483.44
  4. Step 4: Simplify right side
    11,787.92x = 105,472,083.24
  5. Step 5: Solve for x
    x = 105,472,083.24/11,787.92
  6. Step 6: Final answer
    x = 8,947.47

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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.