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Finding the Fourth Proportional to 6,336.40, 9,504.86 and 1,894

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Solution

The fourth proportional to 6,336.40, 9,504.86 and 1,894 is: 2,841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.40 : 9,504.86 = 1,894 : x
  2. Step 2: Convert to fraction form
    6,336.40/9,504.86 = 1,894/x
  3. Step 3: Cross multiply
    6,336.40x = 9,504.86 × 1,894
  4. Step 4: Simplify right side
    6,336.40x = 18,002,204.84
  5. Step 5: Solve for x
    x = 18,002,204.84/6,336.40
  6. Step 6: Final answer
    x = 2,841.08

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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.