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Finding the Fourth Proportional to 7,770.97, 11,666.23 and 6,230.18

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Solution

The fourth proportional to 7,770.97, 11,666.23 and 6,230.18 is: 9,353.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.97 : 11,666.23 = 6,230.18 : x
  2. Step 2: Convert to fraction form
    7,770.97/11,666.23 = 6,230.18/x
  3. Step 3: Cross multiply
    7,770.97x = 11,666.23 × 6,230.18
  4. Step 4: Simplify right side
    7,770.97x = 72,682,726.41
  5. Step 5: Solve for x
    x = 72,682,726.41/7,770.97
  6. Step 6: Final answer
    x = 9,353.11

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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.