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Finding the Fourth Proportional to 31,853.58, 47,780.56 and 9,667

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Solution

The fourth proportional to 31,853.58, 47,780.56 and 9,667 is: 14,500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853.58 : 47,780.56 = 9,667 : x
  2. Step 2: Convert to fraction form
    31,853.58/47,780.56 = 9,667/x
  3. Step 3: Cross multiply
    31,853.58x = 47,780.56 × 9,667
  4. Step 4: Simplify right side
    31,853.58x = 461,894,673.52
  5. Step 5: Solve for x
    x = 461,894,673.52/31,853.58
  6. Step 6: Final answer
    x = 14,500.56

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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.