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Finding the Fourth Proportional to 12,902.78, 17,787.84 and 8,654.60

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Solution

The fourth proportional to 12,902.78, 17,787.84 and 8,654.60 is: 11,931.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.78 : 17,787.84 = 8,654.60 : x
  2. Step 2: Convert to fraction form
    12,902.78/17,787.84 = 8,654.60/x
  3. Step 3: Cross multiply
    12,902.78x = 17,787.84 × 8,654.60
  4. Step 4: Simplify right side
    12,902.78x = 153,946,640.06
  5. Step 5: Solve for x
    x = 153,946,640.06/12,902.78
  6. Step 6: Final answer
    x = 11,931.28

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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.