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Finding the Fourth Proportional to 10,725.66, 14,787.72 and 6,942.15

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Solution

The fourth proportional to 10,725.66, 14,787.72 and 6,942.15 is: 9,571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.66 : 14,787.72 = 6,942.15 : x
  2. Step 2: Convert to fraction form
    10,725.66/14,787.72 = 6,942.15/x
  3. Step 3: Cross multiply
    10,725.66x = 14,787.72 × 6,942.15
  4. Step 4: Simplify right side
    10,725.66x = 102,658,570.40
  5. Step 5: Solve for x
    x = 102,658,570.40/10,725.66
  6. Step 6: Final answer
    x = 9,571.31

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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.