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Finding the Fourth Proportional to 11,188.20, 16,787.70 and 7,894.20

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Solution

The fourth proportional to 11,188.20, 16,787.70 and 7,894.20 is: 11,845.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.20 : 16,787.70 = 7,894.20 : x
  2. Step 2: Convert to fraction form
    11,188.20/16,787.70 = 7,894.20/x
  3. Step 3: Cross multiply
    11,188.20x = 16,787.70 × 7,894.20
  4. Step 4: Simplify right side
    11,188.20x = 132,525,461.34
  5. Step 5: Solve for x
    x = 132,525,461.34/11,188.20
  6. Step 6: Final answer
    x = 11,845.11

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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.