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Finding the Fourth Proportional to 12,765.62, 17,611.53 and 9,416.50

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Solution

The fourth proportional to 12,765.62, 17,611.53 and 9,416.50 is: 12,991.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.62 : 17,611.53 = 9,416.50 : x
  2. Step 2: Convert to fraction form
    12,765.62/17,611.53 = 9,416.50/x
  3. Step 3: Cross multiply
    12,765.62x = 17,611.53 × 9,416.50
  4. Step 4: Simplify right side
    12,765.62x = 165,838,972.25
  5. Step 5: Solve for x
    x = 165,838,972.25/12,765.62
  6. Step 6: Final answer
    x = 12,991.06

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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.