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Finding the Fourth Proportional to 6,466.64, 8,924.64 and 3,634.28

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Solution

The fourth proportional to 6,466.64, 8,924.64 and 3,634.28 is: 5,015.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.64 : 8,924.64 = 3,634.28 : x
  2. Step 2: Convert to fraction form
    6,466.64/8,924.64 = 3,634.28/x
  3. Step 3: Cross multiply
    6,466.64x = 8,924.64 × 3,634.28
  4. Step 4: Simplify right side
    6,466.64x = 32,434,577.86
  5. Step 5: Solve for x
    x = 32,434,577.86/6,466.64
  6. Step 6: Final answer
    x = 5,015.68

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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.