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Finding the Fourth Proportional to 8,143.66, 11,236.80 and 4,787.16

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Solution

The fourth proportional to 8,143.66, 11,236.80 and 4,787.16 is: 6,605.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.66 : 11,236.80 = 4,787.16 : x
  2. Step 2: Convert to fraction form
    8,143.66/11,236.80 = 4,787.16/x
  3. Step 3: Cross multiply
    8,143.66x = 11,236.80 × 4,787.16
  4. Step 4: Simplify right side
    8,143.66x = 53,792,359.49
  5. Step 5: Solve for x
    x = 53,792,359.49/8,143.66
  6. Step 6: Final answer
    x = 6,605.43

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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.