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Finding the Fourth Proportional to 10,394.88, 15,591.84 and 3,820.58

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Solution

The fourth proportional to 10,394.88, 15,591.84 and 3,820.58 is: 5,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.88 : 15,591.84 = 3,820.58 : x
  2. Step 2: Convert to fraction form
    10,394.88/15,591.84 = 3,820.58/x
  3. Step 3: Cross multiply
    10,394.88x = 15,591.84 × 3,820.58
  4. Step 4: Simplify right side
    10,394.88x = 59,569,794.11
  5. Step 5: Solve for x
    x = 59,569,794.11/10,394.88
  6. Step 6: Final answer
    x = 5,730.69

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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.