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Finding the Fourth Proportional to 17,367, 26,051.73 and 6,978.75

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Solution

The fourth proportional to 17,367, 26,051.73 and 6,978.75 is: 10,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,367 : 26,051.73 = 6,978.75 : x
  2. Step 2: Convert to fraction form
    17,367/26,051.73 = 6,978.75/x
  3. Step 3: Cross multiply
    17,367x = 26,051.73 × 6,978.75
  4. Step 4: Simplify right side
    17,367x = 181,808,510.74
  5. Step 5: Solve for x
    x = 181,808,510.74/17,367
  6. Step 6: Final answer
    x = 10,468.62

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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.