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Finding the Fourth Proportional to 31,894.47, 47,843.66 and 9,709.49

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Solution

The fourth proportional to 31,894.47, 47,843.66 and 9,709.49 is: 14,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894.47 : 47,843.66 = 9,709.49 : x
  2. Step 2: Convert to fraction form
    31,894.47/47,843.66 = 9,709.49/x
  3. Step 3: Cross multiply
    31,894.47x = 47,843.66 × 9,709.49
  4. Step 4: Simplify right side
    31,894.47x = 464,537,682.22
  5. Step 5: Solve for x
    x = 464,537,682.22/31,894.47
  6. Step 6: Final answer
    x = 14,564.83

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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.