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Finding the Fourth Proportional to 30,594.34, 45,892.02 and 8,407.58

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Solution

The fourth proportional to 30,594.34, 45,892.02 and 8,407.58 is: 12,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594.34 : 45,892.02 = 8,407.58 : x
  2. Step 2: Convert to fraction form
    30,594.34/45,892.02 = 8,407.58/x
  3. Step 3: Cross multiply
    30,594.34x = 45,892.02 × 8,407.58
  4. Step 4: Simplify right side
    30,594.34x = 385,840,787.47
  5. Step 5: Solve for x
    x = 385,840,787.47/30,594.34
  6. Step 6: Final answer
    x = 12,611.51

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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.