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Finding the Fourth Proportional to 6,671.70, 9,202.41 and 4,651.56

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Solution

The fourth proportional to 6,671.70, 9,202.41 and 4,651.56 is: 6,415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.70 : 9,202.41 = 4,651.56 : x
  2. Step 2: Convert to fraction form
    6,671.70/9,202.41 = 4,651.56/x
  3. Step 3: Cross multiply
    6,671.70x = 9,202.41 × 4,651.56
  4. Step 4: Simplify right side
    6,671.70x = 42,805,562.26
  5. Step 5: Solve for x
    x = 42,805,562.26/6,671.70
  6. Step 6: Final answer
    x = 6,415.99

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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.