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Finding the Fourth Proportional to 31,651.56, 47,476.40 and 7,959.06

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Solution

The fourth proportional to 31,651.56, 47,476.40 and 7,959.06 is: 11,938.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,651.56 : 47,476.40 = 7,959.06 : x
  2. Step 2: Convert to fraction form
    31,651.56/47,476.40 = 7,959.06/x
  3. Step 3: Cross multiply
    31,651.56x = 47,476.40 × 7,959.06
  4. Step 4: Simplify right side
    31,651.56x = 377,867,476.39
  5. Step 5: Solve for x
    x = 377,867,476.39/31,651.56
  6. Step 6: Final answer
    x = 11,938.35

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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.