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Finding the Fourth Proportional to 11,787.16, 17,680.76 and 3,022.08

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Solution

The fourth proportional to 11,787.16, 17,680.76 and 3,022.08 is: 4,533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.16 : 17,680.76 = 3,022.08 : x
  2. Step 2: Convert to fraction form
    11,787.16/17,680.76 = 3,022.08/x
  3. Step 3: Cross multiply
    11,787.16x = 17,680.76 × 3,022.08
  4. Step 4: Simplify right side
    11,787.16x = 53,432,671.18
  5. Step 5: Solve for x
    x = 53,432,671.18/11,787.16
  6. Step 6: Final answer
    x = 4,533.13

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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.