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Finding the Fourth Proportional to 7,222.57, 10,830.92 and 3,523.70

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Solution

The fourth proportional to 7,222.57, 10,830.92 and 3,523.70 is: 5,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.57 : 10,830.92 = 3,523.70 : x
  2. Step 2: Convert to fraction form
    7,222.57/10,830.92 = 3,523.70/x
  3. Step 3: Cross multiply
    7,222.57x = 10,830.92 × 3,523.70
  4. Step 4: Simplify right side
    7,222.57x = 38,164,922.26
  5. Step 5: Solve for x
    x = 38,164,922.26/7,222.57
  6. Step 6: Final answer
    x = 5,284.12

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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.