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Finding the Fourth Proportional to 10,441.59, 15,676.97 and 6,942.39

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Solution

The fourth proportional to 10,441.59, 15,676.97 and 6,942.39 is: 10,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.59 : 15,676.97 = 6,942.39 : x
  2. Step 2: Convert to fraction form
    10,441.59/15,676.97 = 6,942.39/x
  3. Step 3: Cross multiply
    10,441.59x = 15,676.97 × 6,942.39
  4. Step 4: Simplify right side
    10,441.59x = 108,835,605.05
  5. Step 5: Solve for x
    x = 108,835,605.05/10,441.59
  6. Step 6: Final answer
    x = 10,423.28

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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.