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Finding the Fourth Proportional to 6,894, 9,504 and 4,909.50

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Solution

The fourth proportional to 6,894, 9,504 and 4,909.50 is: 6,768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894 : 9,504 = 4,909.50 : x
  2. Step 2: Convert to fraction form
    6,894/9,504 = 4,909.50/x
  3. Step 3: Cross multiply
    6,894x = 9,504 × 4,909.50
  4. Step 4: Simplify right side
    6,894x = 46,659,888
  5. Step 5: Solve for x
    x = 46,659,888/6,894
  6. Step 6: Final answer
    x = 6,768.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.