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Finding the Fourth Proportional to 10,597.85, 15,896.78 and 7,694.60

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Solution

The fourth proportional to 10,597.85, 15,896.78 and 7,694.60 is: 11,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.85 : 15,896.78 = 7,694.60 : x
  2. Step 2: Convert to fraction form
    10,597.85/15,896.78 = 7,694.60/x
  3. Step 3: Cross multiply
    10,597.85x = 15,896.78 × 7,694.60
  4. Step 4: Simplify right side
    10,597.85x = 122,319,245.43
  5. Step 5: Solve for x
    x = 122,319,245.43/10,597.85
  6. Step 6: Final answer
    x = 11,541.90

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Similar ratio
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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.