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Finding the Fourth Proportional to 8,497.64, 12,741.56 and 3,297.44

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Solution

The fourth proportional to 8,497.64, 12,741.56 and 3,297.44 is: 4,944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.64 : 12,741.56 = 3,297.44 : x
  2. Step 2: Convert to fraction form
    8,497.64/12,741.56 = 3,297.44/x
  3. Step 3: Cross multiply
    8,497.64x = 12,741.56 × 3,297.44
  4. Step 4: Simplify right side
    8,497.64x = 42,014,529.61
  5. Step 5: Solve for x
    x = 42,014,529.61/8,497.64
  6. Step 6: Final answer
    x = 4,944.26

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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.