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Finding the Fourth Proportional to 7,231.60, 10,825.80 and 6,367.60

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Solution

The fourth proportional to 7,231.60, 10,825.80 and 6,367.60 is: 9,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.60 : 10,825.80 = 6,367.60 : x
  2. Step 2: Convert to fraction form
    7,231.60/10,825.80 = 6,367.60/x
  3. Step 3: Cross multiply
    7,231.60x = 10,825.80 × 6,367.60
  4. Step 4: Simplify right side
    7,231.60x = 68,934,364.08
  5. Step 5: Solve for x
    x = 68,934,364.08/7,231.60
  6. Step 6: Final answer
    x = 9,532.38

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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.