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Finding the Fourth Proportional to 4,651.41, 6,977.11 and 4,417.82

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Solution

The fourth proportional to 4,651.41, 6,977.11 and 4,417.82 is: 6,626.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.41 : 6,977.11 = 4,417.82 : x
  2. Step 2: Convert to fraction form
    4,651.41/6,977.11 = 4,417.82/x
  3. Step 3: Cross multiply
    4,651.41x = 6,977.11 × 4,417.82
  4. Step 4: Simplify right side
    4,651.41x = 30,823,622.50
  5. Step 5: Solve for x
    x = 30,823,622.50/4,651.41
  6. Step 6: Final answer
    x = 6,626.73

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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.