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Finding the Fourth Proportional to 6,651.06, 9,977.13 and 3,730.74

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Solution

The fourth proportional to 6,651.06, 9,977.13 and 3,730.74 is: 5,596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.06 : 9,977.13 = 3,730.74 : x
  2. Step 2: Convert to fraction form
    6,651.06/9,977.13 = 3,730.74/x
  3. Step 3: Cross multiply
    6,651.06x = 9,977.13 × 3,730.74
  4. Step 4: Simplify right side
    6,651.06x = 37,222,077.98
  5. Step 5: Solve for x
    x = 37,222,077.98/6,651.06
  6. Step 6: Final answer
    x = 5,596.41

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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.