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Finding the Fourth Proportional to 9,787.91, 14,677.06 and 6,827.77

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Solution

The fourth proportional to 9,787.91, 14,677.06 and 6,827.77 is: 10,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.91 : 14,677.06 = 6,827.77 : x
  2. Step 2: Convert to fraction form
    9,787.91/14,677.06 = 6,827.77/x
  3. Step 3: Cross multiply
    9,787.91x = 14,677.06 × 6,827.77
  4. Step 4: Simplify right side
    9,787.91x = 100,211,589.96
  5. Step 5: Solve for x
    x = 100,211,589.96/9,787.91
  6. Step 6: Final answer
    x = 10,238.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.