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Finding the Fourth Proportional to 11,097.56, 16,651.80 and 7,831.64

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Solution

The fourth proportional to 11,097.56, 16,651.80 and 7,831.64 is: 11,751.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.56 : 16,651.80 = 7,831.64 : x
  2. Step 2: Convert to fraction form
    11,097.56/16,651.80 = 7,831.64/x
  3. Step 3: Cross multiply
    11,097.56x = 16,651.80 × 7,831.64
  4. Step 4: Simplify right side
    11,097.56x = 130,410,819.69
  5. Step 5: Solve for x
    x = 130,410,819.69/11,097.56
  6. Step 6: Final answer
    x = 11,751.31

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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.