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Finding the Fourth Proportional to 9,874.44, 13,625.82 and 5,894.64

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Solution

The fourth proportional to 9,874.44, 13,625.82 and 5,894.64 is: 8,134.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.44 : 13,625.82 = 5,894.64 : x
  2. Step 2: Convert to fraction form
    9,874.44/13,625.82 = 5,894.64/x
  3. Step 3: Cross multiply
    9,874.44x = 13,625.82 × 5,894.64
  4. Step 4: Simplify right side
    9,874.44x = 80,319,303.60
  5. Step 5: Solve for x
    x = 80,319,303.60/9,874.44
  6. Step 6: Final answer
    x = 8,134.06

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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.