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Finding the Fourth Proportional to 25,262, 37,893.04 and 6,794

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Solution

The fourth proportional to 25,262, 37,893.04 and 6,794 is: 10,191.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,262 : 37,893.04 = 6,794 : x
  2. Step 2: Convert to fraction form
    25,262/37,893.04 = 6,794/x
  3. Step 3: Cross multiply
    25,262x = 37,893.04 × 6,794
  4. Step 4: Simplify right side
    25,262x = 257,445,313.76
  5. Step 5: Solve for x
    x = 257,445,313.76/25,262
  6. Step 6: Final answer
    x = 10,191.01

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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.