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Finding the Fourth Proportional to 26,262, 39,392.93 and 6,540.57

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Solution

The fourth proportional to 26,262, 39,392.93 and 6,540.57 is: 9,810.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,262 : 39,392.93 = 6,540.57 : x
  2. Step 2: Convert to fraction form
    26,262/39,392.93 = 6,540.57/x
  3. Step 3: Cross multiply
    26,262x = 39,392.93 × 6,540.57
  4. Step 4: Simplify right side
    26,262x = 257,652,183.47
  5. Step 5: Solve for x
    x = 257,652,183.47/26,262
  6. Step 6: Final answer
    x = 9,810.84

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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.