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Finding the Fourth Proportional to 11,496.60, 17,244.90 and 7,122.60

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Solution

The fourth proportional to 11,496.60, 17,244.90 and 7,122.60 is: 10,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.60 : 17,244.90 = 7,122.60 : x
  2. Step 2: Convert to fraction form
    11,496.60/17,244.90 = 7,122.60/x
  3. Step 3: Cross multiply
    11,496.60x = 17,244.90 × 7,122.60
  4. Step 4: Simplify right side
    11,496.60x = 122,828,524.74
  5. Step 5: Solve for x
    x = 122,828,524.74/11,496.60
  6. Step 6: Final answer
    x = 10,683.90

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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.