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Finding the Fourth Proportional to 7,121.73, 9,827.46 and 4,289.52

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Solution

The fourth proportional to 7,121.73, 9,827.46 and 4,289.52 is: 5,919.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.73 : 9,827.46 = 4,289.52 : x
  2. Step 2: Convert to fraction form
    7,121.73/9,827.46 = 4,289.52/x
  3. Step 3: Cross multiply
    7,121.73x = 9,827.46 × 4,289.52
  4. Step 4: Simplify right side
    7,121.73x = 42,155,086.22
  5. Step 5: Solve for x
    x = 42,155,086.22/7,121.73
  6. Step 6: Final answer
    x = 5,919.22

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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.