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Finding the Fourth Proportional to 6,467.63, 9,682.52 and 4,913.73

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Solution

The fourth proportional to 6,467.63, 9,682.52 and 4,913.73 is: 7,356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.63 : 9,682.52 = 4,913.73 : x
  2. Step 2: Convert to fraction form
    6,467.63/9,682.52 = 4,913.73/x
  3. Step 3: Cross multiply
    6,467.63x = 9,682.52 × 4,913.73
  4. Step 4: Simplify right side
    6,467.63x = 47,577,264.43
  5. Step 5: Solve for x
    x = 47,577,264.43/6,467.63
  6. Step 6: Final answer
    x = 7,356.22

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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.