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Finding the Fourth Proportional to 6,674.72, 10,012.16 and 2,057.76

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Solution

The fourth proportional to 6,674.72, 10,012.16 and 2,057.76 is: 3,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.72 : 10,012.16 = 2,057.76 : x
  2. Step 2: Convert to fraction form
    6,674.72/10,012.16 = 2,057.76/x
  3. Step 3: Cross multiply
    6,674.72x = 10,012.16 × 2,057.76
  4. Step 4: Simplify right side
    6,674.72x = 20,602,622.36
  5. Step 5: Solve for x
    x = 20,602,622.36/6,674.72
  6. Step 6: Final answer
    x = 3,086.66

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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.