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Finding the Fourth Proportional to 9,497.62, 13,110.34 and 8,501.12

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Solution

The fourth proportional to 9,497.62, 13,110.34 and 8,501.12 is: 11,734.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.62 : 13,110.34 = 8,501.12 : x
  2. Step 2: Convert to fraction form
    9,497.62/13,110.34 = 8,501.12/x
  3. Step 3: Cross multiply
    9,497.62x = 13,110.34 × 8,501.12
  4. Step 4: Simplify right side
    9,497.62x = 111,452,573.58
  5. Step 5: Solve for x
    x = 111,452,573.58/9,497.62
  6. Step 6: Final answer
    x = 11,734.79

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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.