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Finding the Fourth Proportional to 9,116.64, 13,659.96 and 3,847.32

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Solution

The fourth proportional to 9,116.64, 13,659.96 and 3,847.32 is: 5,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.64 : 13,659.96 = 3,847.32 : x
  2. Step 2: Convert to fraction form
    9,116.64/13,659.96 = 3,847.32/x
  3. Step 3: Cross multiply
    9,116.64x = 13,659.96 × 3,847.32
  4. Step 4: Simplify right side
    9,116.64x = 52,554,237.31
  5. Step 5: Solve for x
    x = 52,554,237.31/9,116.64
  6. Step 6: Final answer
    x = 5,764.65

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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.