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Finding the Fourth Proportional to 30,594.49, 45,891.19 and 8,407.78

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Solution

The fourth proportional to 30,594.49, 45,891.19 and 8,407.78 is: 12,611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594.49 : 45,891.19 = 8,407.78 : x
  2. Step 2: Convert to fraction form
    30,594.49/45,891.19 = 8,407.78/x
  3. Step 3: Cross multiply
    30,594.49x = 45,891.19 × 8,407.78
  4. Step 4: Simplify right side
    30,594.49x = 385,843,029.46
  5. Step 5: Solve for x
    x = 385,843,029.46/30,594.49
  6. Step 6: Final answer
    x = 12,611.52

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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.