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Finding the Fourth Proportional to 11,151.60, 15,375.60 and 9,823.20

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Solution

The fourth proportional to 11,151.60, 15,375.60 and 9,823.20 is: 13,544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151.60 : 15,375.60 = 9,823.20 : x
  2. Step 2: Convert to fraction form
    11,151.60/15,375.60 = 9,823.20/x
  3. Step 3: Cross multiply
    11,151.60x = 15,375.60 × 9,823.20
  4. Step 4: Simplify right side
    11,151.60x = 151,037,593.92
  5. Step 5: Solve for x
    x = 151,037,593.92/11,151.60
  6. Step 6: Final answer
    x = 13,544.03

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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.