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Finding the Fourth Proportional to 15,284.70, 22,937.94 and 6,965.82

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Solution

The fourth proportional to 15,284.70, 22,937.94 and 6,965.82 is: 10,453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,284.70 : 22,937.94 = 6,965.82 : x
  2. Step 2: Convert to fraction form
    15,284.70/22,937.94 = 6,965.82/x
  3. Step 3: Cross multiply
    15,284.70x = 22,937.94 × 6,965.82
  4. Step 4: Simplify right side
    15,284.70x = 159,781,561.21
  5. Step 5: Solve for x
    x = 159,781,561.21/15,284.70
  6. Step 6: Final answer
    x = 10,453.69

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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.