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Finding the Fourth Proportional to 8,770.77, 12,102.03 and 5,234.31

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Solution

The fourth proportional to 8,770.77, 12,102.03 and 5,234.31 is: 7,222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.77 : 12,102.03 = 5,234.31 : x
  2. Step 2: Convert to fraction form
    8,770.77/12,102.03 = 5,234.31/x
  3. Step 3: Cross multiply
    8,770.77x = 12,102.03 × 5,234.31
  4. Step 4: Simplify right side
    8,770.77x = 63,345,776.65
  5. Step 5: Solve for x
    x = 63,345,776.65/8,770.77
  6. Step 6: Final answer
    x = 7,222.37

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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.