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Finding the Fourth Proportional to 12,734.76, 17,576.07 and 7,071.32

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Solution

The fourth proportional to 12,734.76, 17,576.07 and 7,071.32 is: 9,759.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734.76 : 17,576.07 = 7,071.32 : x
  2. Step 2: Convert to fraction form
    12,734.76/17,576.07 = 7,071.32/x
  3. Step 3: Cross multiply
    12,734.76x = 17,576.07 × 7,071.32
  4. Step 4: Simplify right side
    12,734.76x = 124,286,015.31
  5. Step 5: Solve for x
    x = 124,286,015.31/12,734.76
  6. Step 6: Final answer
    x = 9,759.59

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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.