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Finding the Fourth Proportional to 35,896.92, 53,845.38 and 9,600.98

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Solution

The fourth proportional to 35,896.92, 53,845.38 and 9,600.98 is: 14,401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,896.92 : 53,845.38 = 9,600.98 : x
  2. Step 2: Convert to fraction form
    35,896.92/53,845.38 = 9,600.98/x
  3. Step 3: Cross multiply
    35,896.92x = 53,845.38 × 9,600.98
  4. Step 4: Simplify right side
    35,896.92x = 516,968,416.47
  5. Step 5: Solve for x
    x = 516,968,416.47/35,896.92
  6. Step 6: Final answer
    x = 14,401.47

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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.