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Finding the Fourth Proportional to 30,596.37, 45,886.19 and 8,404.47

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Solution

The fourth proportional to 30,596.37, 45,886.19 and 8,404.47 is: 12,604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.37 : 45,886.19 = 8,404.47 : x
  2. Step 2: Convert to fraction form
    30,596.37/45,886.19 = 8,404.47/x
  3. Step 3: Cross multiply
    30,596.37x = 45,886.19 × 8,404.47
  4. Step 4: Simplify right side
    30,596.37x = 385,649,107.27
  5. Step 5: Solve for x
    x = 385,649,107.27/30,596.37
  6. Step 6: Final answer
    x = 12,604.41

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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.