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Finding the Fourth Proportional to 9,874.95, 13,626.93 and 5,894.61

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Solution

The fourth proportional to 9,874.95, 13,626.93 and 5,894.61 is: 8,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.95 : 13,626.93 = 5,894.61 : x
  2. Step 2: Convert to fraction form
    9,874.95/13,626.93 = 5,894.61/x
  3. Step 3: Cross multiply
    9,874.95x = 13,626.93 × 5,894.61
  4. Step 4: Simplify right side
    9,874.95x = 80,325,408.85
  5. Step 5: Solve for x
    x = 80,325,408.85/9,874.95
  6. Step 6: Final answer
    x = 8,134.26

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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.