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Finding the Fourth Proportional to 30,594.09, 45,891.63 and 8,407.32

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Solution

The fourth proportional to 30,594.09, 45,891.63 and 8,407.32 is: 12,611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594.09 : 45,891.63 = 8,407.32 : x
  2. Step 2: Convert to fraction form
    30,594.09/45,891.63 = 8,407.32/x
  3. Step 3: Cross multiply
    30,594.09x = 45,891.63 × 8,407.32
  4. Step 4: Simplify right side
    30,594.09x = 385,825,618.73
  5. Step 5: Solve for x
    x = 385,825,618.73/30,594.09
  6. Step 6: Final answer
    x = 12,611.12

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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.