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Finding the Fourth Proportional to 12,592.85, 18,888.46 and 3,827.84

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Solution

The fourth proportional to 12,592.85, 18,888.46 and 3,827.84 is: 5,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.85 : 18,888.46 = 3,827.84 : x
  2. Step 2: Convert to fraction form
    12,592.85/18,888.46 = 3,827.84/x
  3. Step 3: Cross multiply
    12,592.85x = 18,888.46 × 3,827.84
  4. Step 4: Simplify right side
    12,592.85x = 72,302,002.73
  5. Step 5: Solve for x
    x = 72,302,002.73/12,592.85
  6. Step 6: Final answer
    x = 5,741.51

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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.