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Finding the Fourth Proportional to 9,874.60, 13,627.11 and 5,896.06

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Solution

The fourth proportional to 9,874.60, 13,627.11 and 5,896.06 is: 8,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.60 : 13,627.11 = 5,896.06 : x
  2. Step 2: Convert to fraction form
    9,874.60/13,627.11 = 5,896.06/x
  3. Step 3: Cross multiply
    9,874.60x = 13,627.11 × 5,896.06
  4. Step 4: Simplify right side
    9,874.60x = 80,346,258.19
  5. Step 5: Solve for x
    x = 80,346,258.19/9,874.60
  6. Step 6: Final answer
    x = 8,136.66

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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.