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Finding the Fourth Proportional to 9,787.60, 13,503.60 and 6,252.88

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Solution

The fourth proportional to 9,787.60, 13,503.60 and 6,252.88 is: 8,626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.60 : 13,503.60 = 6,252.88 : x
  2. Step 2: Convert to fraction form
    9,787.60/13,503.60 = 6,252.88/x
  3. Step 3: Cross multiply
    9,787.60x = 13,503.60 × 6,252.88
  4. Step 4: Simplify right side
    9,787.60x = 84,436,390.37
  5. Step 5: Solve for x
    x = 84,436,390.37/9,787.60
  6. Step 6: Final answer
    x = 8,626.87

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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.