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Finding the Fourth Proportional to 9,634.32, 13,286.16 and 5,858.16

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Solution

The fourth proportional to 9,634.32, 13,286.16 and 5,858.16 is: 8,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.32 : 13,286.16 = 5,858.16 : x
  2. Step 2: Convert to fraction form
    9,634.32/13,286.16 = 5,858.16/x
  3. Step 3: Cross multiply
    9,634.32x = 13,286.16 × 5,858.16
  4. Step 4: Simplify right side
    9,634.32x = 77,832,451.07
  5. Step 5: Solve for x
    x = 77,832,451.07/9,634.32
  6. Step 6: Final answer
    x = 8,078.67

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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.