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Finding the Fourth Proportional to 9,157.64, 13,738.14 and 3,236.22

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Solution

The fourth proportional to 9,157.64, 13,738.14 and 3,236.22 is: 4,854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.64 : 13,738.14 = 3,236.22 : x
  2. Step 2: Convert to fraction form
    9,157.64/13,738.14 = 3,236.22/x
  3. Step 3: Cross multiply
    9,157.64x = 13,738.14 × 3,236.22
  4. Step 4: Simplify right side
    9,157.64x = 44,459,643.43
  5. Step 5: Solve for x
    x = 44,459,643.43/9,157.64
  6. Step 6: Final answer
    x = 4,854.93

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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.