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Finding the Fourth Proportional to 10,794.26, 14,894.88 and 6,078.44

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Solution

The fourth proportional to 10,794.26, 14,894.88 and 6,078.44 is: 8,387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.26 : 14,894.88 = 6,078.44 : x
  2. Step 2: Convert to fraction form
    10,794.26/14,894.88 = 6,078.44/x
  3. Step 3: Cross multiply
    10,794.26x = 14,894.88 × 6,078.44
  4. Step 4: Simplify right side
    10,794.26x = 90,537,634.39
  5. Step 5: Solve for x
    x = 90,537,634.39/10,794.26
  6. Step 6: Final answer
    x = 8,387.57

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1.5x scale

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.