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Finding the Fourth Proportional to 8,157.84, 12,233.36 and 3,476.64

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Solution

The fourth proportional to 8,157.84, 12,233.36 and 3,476.64 is: 5,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.84 : 12,233.36 = 3,476.64 : x
  2. Step 2: Convert to fraction form
    8,157.84/12,233.36 = 3,476.64/x
  3. Step 3: Cross multiply
    8,157.84x = 12,233.36 × 3,476.64
  4. Step 4: Simplify right side
    8,157.84x = 42,530,988.71
  5. Step 5: Solve for x
    x = 42,530,988.71/8,157.84
  6. Step 6: Final answer
    x = 5,213.51

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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.