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Finding the Fourth Proportional to 25,270.32, 37,900.92 and 6,798

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Solution

The fourth proportional to 25,270.32, 37,900.92 and 6,798 is: 10,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,270.32 : 37,900.92 = 6,798 : x
  2. Step 2: Convert to fraction form
    25,270.32/37,900.92 = 6,798/x
  3. Step 3: Cross multiply
    25,270.32x = 37,900.92 × 6,798
  4. Step 4: Simplify right side
    25,270.32x = 257,650,454.16
  5. Step 5: Solve for x
    x = 257,650,454.16/25,270.32
  6. Step 6: Final answer
    x = 10,195.77

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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.