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Finding the Fourth Proportional to 6,649.57, 9,977.29 and 3,528.82

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Solution

The fourth proportional to 6,649.57, 9,977.29 and 3,528.82 is: 5,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.57 : 9,977.29 = 3,528.82 : x
  2. Step 2: Convert to fraction form
    6,649.57/9,977.29 = 3,528.82/x
  3. Step 3: Cross multiply
    6,649.57x = 9,977.29 × 3,528.82
  4. Step 4: Simplify right side
    6,649.57x = 35,208,026.73
  5. Step 5: Solve for x
    x = 35,208,026.73/6,649.57
  6. Step 6: Final answer
    x = 5,294.78

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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.