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Finding the Fourth Proportional to 6,884.83, 10,364.71 and 6,272.47

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Solution

The fourth proportional to 6,884.83, 10,364.71 and 6,272.47 is: 9,442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.83 : 10,364.71 = 6,272.47 : x
  2. Step 2: Convert to fraction form
    6,884.83/10,364.71 = 6,272.47/x
  3. Step 3: Cross multiply
    6,884.83x = 10,364.71 × 6,272.47
  4. Step 4: Simplify right side
    6,884.83x = 65,012,249.35
  5. Step 5: Solve for x
    x = 65,012,249.35/6,884.83
  6. Step 6: Final answer
    x = 9,442.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.