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Finding the Fourth Proportional to 9,611.82, 14,395.86 and 6,101.64

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Solution

The fourth proportional to 9,611.82, 14,395.86 and 6,101.64 is: 9,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.82 : 14,395.86 = 6,101.64 : x
  2. Step 2: Convert to fraction form
    9,611.82/14,395.86 = 6,101.64/x
  3. Step 3: Cross multiply
    9,611.82x = 14,395.86 × 6,101.64
  4. Step 4: Simplify right side
    9,611.82x = 87,838,355.21
  5. Step 5: Solve for x
    x = 87,838,355.21/9,611.82
  6. Step 6: Final answer
    x = 9,138.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.