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Finding the Fourth Proportional to 6,319, 9,478.50 and 1,936.43

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Solution

The fourth proportional to 6,319, 9,478.50 and 1,936.43 is: 2,904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319 : 9,478.50 = 1,936.43 : x
  2. Step 2: Convert to fraction form
    6,319/9,478.50 = 1,936.43/x
  3. Step 3: Cross multiply
    6,319x = 9,478.50 × 1,936.43
  4. Step 4: Simplify right side
    6,319x = 18,354,451.76
  5. Step 5: Solve for x
    x = 18,354,451.76/6,319
  6. Step 6: Final answer
    x = 2,904.65

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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.