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Finding the Fourth Proportional to 9,144.84, 13,702.87 and 7,069.94

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Solution

The fourth proportional to 9,144.84, 13,702.87 and 7,069.94 is: 10,593.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.84 : 13,702.87 = 7,069.94 : x
  2. Step 2: Convert to fraction form
    9,144.84/13,702.87 = 7,069.94/x
  3. Step 3: Cross multiply
    9,144.84x = 13,702.87 × 7,069.94
  4. Step 4: Simplify right side
    9,144.84x = 96,878,468.73
  5. Step 5: Solve for x
    x = 96,878,468.73/9,144.84
  6. Step 6: Final answer
    x = 10,593.78

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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.