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Finding the Fourth Proportional to 17,981.86, 26,985.21 and 6,295

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Solution

The fourth proportional to 17,981.86, 26,985.21 and 6,295 is: 9,446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,981.86 : 26,985.21 = 6,295 : x
  2. Step 2: Convert to fraction form
    17,981.86/26,985.21 = 6,295/x
  3. Step 3: Cross multiply
    17,981.86x = 26,985.21 × 6,295
  4. Step 4: Simplify right side
    17,981.86x = 169,871,896.95
  5. Step 5: Solve for x
    x = 169,871,896.95/17,981.86
  6. Step 6: Final answer
    x = 9,446.85

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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.