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Finding the Fourth Proportional to 4,651.12, 6,977.76 and 1,364.24

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Solution

The fourth proportional to 4,651.12, 6,977.76 and 1,364.24 is: 2,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.12 : 6,977.76 = 1,364.24 : x
  2. Step 2: Convert to fraction form
    4,651.12/6,977.76 = 1,364.24/x
  3. Step 3: Cross multiply
    4,651.12x = 6,977.76 × 1,364.24
  4. Step 4: Simplify right side
    4,651.12x = 9,519,339.30
  5. Step 5: Solve for x
    x = 9,519,339.30/4,651.12
  6. Step 6: Final answer
    x = 2,046.68

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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.