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Finding the Fourth Proportional to 9,584.64, 13,235.12 and 7,071.12

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Solution

The fourth proportional to 9,584.64, 13,235.12 and 7,071.12 is: 9,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.64 : 13,235.12 = 7,071.12 : x
  2. Step 2: Convert to fraction form
    9,584.64/13,235.12 = 7,071.12/x
  3. Step 3: Cross multiply
    9,584.64x = 13,235.12 × 7,071.12
  4. Step 4: Simplify right side
    9,584.64x = 93,587,121.73
  5. Step 5: Solve for x
    x = 93,587,121.73/9,584.64
  6. Step 6: Final answer
    x = 9,764.28

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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.