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Finding the Fourth Proportional to 11,494.97, 17,257.05 and 9,774.53

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Solution

The fourth proportional to 11,494.97, 17,257.05 and 9,774.53 is: 14,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.97 : 17,257.05 = 9,774.53 : x
  2. Step 2: Convert to fraction form
    11,494.97/17,257.05 = 9,774.53/x
  3. Step 3: Cross multiply
    11,494.97x = 17,257.05 × 9,774.53
  4. Step 4: Simplify right side
    11,494.97x = 168,679,552.94
  5. Step 5: Solve for x
    x = 168,679,552.94/11,494.97
  6. Step 6: Final answer
    x = 14,674.21

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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.