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Finding the Fourth Proportional to 30,594.54, 45,882.96 and 8,408.64

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Solution

The fourth proportional to 30,594.54, 45,882.96 and 8,408.64 is: 12,610.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594.54 : 45,882.96 = 8,408.64 : x
  2. Step 2: Convert to fraction form
    30,594.54/45,882.96 = 8,408.64/x
  3. Step 3: Cross multiply
    30,594.54x = 45,882.96 × 8,408.64
  4. Step 4: Simplify right side
    30,594.54x = 385,813,292.77
  5. Step 5: Solve for x
    x = 385,813,292.77/30,594.54
  6. Step 6: Final answer
    x = 12,610.53

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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.