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Finding the Fourth Proportional to 25,171, 37,756.62 and 6,703

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Solution

The fourth proportional to 25,171, 37,756.62 and 6,703 is: 10,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,171 : 37,756.62 = 6,703 : x
  2. Step 2: Convert to fraction form
    25,171/37,756.62 = 6,703/x
  3. Step 3: Cross multiply
    25,171x = 37,756.62 × 6,703
  4. Step 4: Simplify right side
    25,171x = 253,082,623.86
  5. Step 5: Solve for x
    x = 253,082,623.86/25,171
  6. Step 6: Final answer
    x = 10,054.53

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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.