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Finding the Fourth Proportional to 31,598.28, 47,395.98 and 7,906.08

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Solution

The fourth proportional to 31,598.28, 47,395.98 and 7,906.08 is: 11,858.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,598.28 : 47,395.98 = 7,906.08 : x
  2. Step 2: Convert to fraction form
    31,598.28/47,395.98 = 7,906.08/x
  3. Step 3: Cross multiply
    31,598.28x = 47,395.98 × 7,906.08
  4. Step 4: Simplify right side
    31,598.28x = 374,716,409.56
  5. Step 5: Solve for x
    x = 374,716,409.56/31,598.28
  6. Step 6: Final answer
    x = 11,858.76

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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.