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Finding the Fourth Proportional to 7,509.60, 11,273.66 and 7,122.12

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Solution

The fourth proportional to 7,509.60, 11,273.66 and 7,122.12 is: 10,691.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.60 : 11,273.66 = 7,122.12 : x
  2. Step 2: Convert to fraction form
    7,509.60/11,273.66 = 7,122.12/x
  3. Step 3: Cross multiply
    7,509.60x = 11,273.66 × 7,122.12
  4. Step 4: Simplify right side
    7,509.60x = 80,292,359.36
  5. Step 5: Solve for x
    x = 80,292,359.36/7,509.60
  6. Step 6: Final answer
    x = 10,691.96

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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.