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Finding the Fourth Proportional to 30,594.84, 45,892.77 and 8,408.09

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Solution

The fourth proportional to 30,594.84, 45,892.77 and 8,408.09 is: 12,612.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594.84 : 45,892.77 = 8,408.09 : x
  2. Step 2: Convert to fraction form
    30,594.84/45,892.77 = 8,408.09/x
  3. Step 3: Cross multiply
    30,594.84x = 45,892.77 × 8,408.09
  4. Step 4: Simplify right side
    30,594.84x = 385,870,311.05
  5. Step 5: Solve for x
    x = 385,870,311.05/30,594.84
  6. Step 6: Final answer
    x = 12,612.27

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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.