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Finding the Fourth Proportional to 7,230.62, 9,971.16 and 5,809.77

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Solution

The fourth proportional to 7,230.62, 9,971.16 and 5,809.77 is: 8,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.62 : 9,971.16 = 5,809.77 : x
  2. Step 2: Convert to fraction form
    7,230.62/9,971.16 = 5,809.77/x
  3. Step 3: Cross multiply
    7,230.62x = 9,971.16 × 5,809.77
  4. Step 4: Simplify right side
    7,230.62x = 57,930,146.23
  5. Step 5: Solve for x
    x = 57,930,146.23/7,230.62
  6. Step 6: Final answer
    x = 8,011.78

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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.