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Finding the Fourth Proportional to 8,093.64, 11,171.46 and 4,737.16

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Solution

The fourth proportional to 8,093.64, 11,171.46 and 4,737.16 is: 6,538.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.64 : 11,171.46 = 4,737.16 : x
  2. Step 2: Convert to fraction form
    8,093.64/11,171.46 = 4,737.16/x
  3. Step 3: Cross multiply
    8,093.64x = 11,171.46 × 4,737.16
  4. Step 4: Simplify right side
    8,093.64x = 52,920,993.45
  5. Step 5: Solve for x
    x = 52,920,993.45/8,093.64
  6. Step 6: Final answer
    x = 6,538.59

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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.