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Finding the Fourth Proportional to 30,584.69, 45,869.43 and 8,396.96

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Solution

The fourth proportional to 30,584.69, 45,869.43 and 8,396.96 is: 12,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584.69 : 45,869.43 = 8,396.96 : x
  2. Step 2: Convert to fraction form
    30,584.69/45,869.43 = 8,396.96/x
  3. Step 3: Cross multiply
    30,584.69x = 45,869.43 × 8,396.96
  4. Step 4: Simplify right side
    30,584.69x = 385,163,768.93
  5. Step 5: Solve for x
    x = 385,163,768.93/30,584.69
  6. Step 6: Final answer
    x = 12,593.35

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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.