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Finding the Fourth Proportional to 11,399.60, 17,099.40 and 5,159.60

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Solution

The fourth proportional to 11,399.60, 17,099.40 and 5,159.60 is: 7,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.60 : 17,099.40 = 5,159.60 : x
  2. Step 2: Convert to fraction form
    11,399.60/17,099.40 = 5,159.60/x
  3. Step 3: Cross multiply
    11,399.60x = 17,099.40 × 5,159.60
  4. Step 4: Simplify right side
    11,399.60x = 88,226,064.24
  5. Step 5: Solve for x
    x = 88,226,064.24/11,399.60
  6. Step 6: Final answer
    x = 7,739.40

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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.