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Finding the Fourth Proportional to 7,787.60, 11,657.10 and 6,135.20

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Solution

The fourth proportional to 7,787.60, 11,657.10 and 6,135.20 is: 9,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.60 : 11,657.10 = 6,135.20 : x
  2. Step 2: Convert to fraction form
    7,787.60/11,657.10 = 6,135.20/x
  3. Step 3: Cross multiply
    7,787.60x = 11,657.10 × 6,135.20
  4. Step 4: Simplify right side
    7,787.60x = 71,518,639.92
  5. Step 5: Solve for x
    x = 71,518,639.92/7,787.60
  6. Step 6: Final answer
    x = 9,183.66

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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.