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Finding the Fourth Proportional to 6,650.80, 9,969.72 and 3,186.16

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Solution

The fourth proportional to 6,650.80, 9,969.72 and 3,186.16 is: 4,776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.80 : 9,969.72 = 3,186.16 : x
  2. Step 2: Convert to fraction form
    6,650.80/9,969.72 = 3,186.16/x
  3. Step 3: Cross multiply
    6,650.80x = 9,969.72 × 3,186.16
  4. Step 4: Simplify right side
    6,650.80x = 31,765,123.08
  5. Step 5: Solve for x
    x = 31,765,123.08/6,650.80
  6. Step 6: Final answer
    x = 4,776.14

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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.