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Finding the Fourth Proportional to 11,787.76, 16,267.08 and 6,410.17

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Solution

The fourth proportional to 11,787.76, 16,267.08 and 6,410.17 is: 8,846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.76 : 16,267.08 = 6,410.17 : x
  2. Step 2: Convert to fraction form
    11,787.76/16,267.08 = 6,410.17/x
  3. Step 3: Cross multiply
    11,787.76x = 16,267.08 × 6,410.17
  4. Step 4: Simplify right side
    11,787.76x = 104,274,748.20
  5. Step 5: Solve for x
    x = 104,274,748.20/11,787.76
  6. Step 6: Final answer
    x = 8,846.02

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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.