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Finding the Fourth Proportional to 12,452.31, 17,184.08 and 6,787.06

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Solution

The fourth proportional to 12,452.31, 17,184.08 and 6,787.06 is: 9,366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.31 : 17,184.08 = 6,787.06 : x
  2. Step 2: Convert to fraction form
    12,452.31/17,184.08 = 6,787.06/x
  3. Step 3: Cross multiply
    12,452.31x = 17,184.08 × 6,787.06
  4. Step 4: Simplify right side
    12,452.31x = 116,629,369.14
  5. Step 5: Solve for x
    x = 116,629,369.14/12,452.31
  6. Step 6: Final answer
    x = 9,366.08

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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.