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Finding the Fourth Proportional to 9,694.32, 14,523.84 and 9,334.32

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Solution

The fourth proportional to 9,694.32, 14,523.84 and 9,334.32 is: 13,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.32 : 14,523.84 = 9,334.32 : x
  2. Step 2: Convert to fraction form
    9,694.32/14,523.84 = 9,334.32/x
  3. Step 3: Cross multiply
    9,694.32x = 14,523.84 × 9,334.32
  4. Step 4: Simplify right side
    9,694.32x = 135,570,170.19
  5. Step 5: Solve for x
    x = 135,570,170.19/9,694.32
  6. Step 6: Final answer
    x = 13,984.50

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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.