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Finding the Fourth Proportional to 23,697.86, 35,534.86 and 7,897.30

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Solution

The fourth proportional to 23,697.86, 35,534.86 and 7,897.30 is: 11,841.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697.86 : 35,534.86 = 7,897.30 : x
  2. Step 2: Convert to fraction form
    23,697.86/35,534.86 = 7,897.30/x
  3. Step 3: Cross multiply
    23,697.86x = 35,534.86 × 7,897.30
  4. Step 4: Simplify right side
    23,697.86x = 280,629,449.88
  5. Step 5: Solve for x
    x = 280,629,449.88/23,697.86
  6. Step 6: Final answer
    x = 11,841.97

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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.