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Finding the Fourth Proportional to 10,591.70, 15,884.06 and 3,569.82

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Solution

The fourth proportional to 10,591.70, 15,884.06 and 3,569.82 is: 5,353.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.70 : 15,884.06 = 3,569.82 : x
  2. Step 2: Convert to fraction form
    10,591.70/15,884.06 = 3,569.82/x
  3. Step 3: Cross multiply
    10,591.70x = 15,884.06 × 3,569.82
  4. Step 4: Simplify right side
    10,591.70x = 56,703,157.65
  5. Step 5: Solve for x
    x = 56,703,157.65/10,591.70
  6. Step 6: Final answer
    x = 5,353.55

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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.