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Finding the Fourth Proportional to 31,794.04, 47,696.08 and 9,604.66

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Solution

The fourth proportional to 31,794.04, 47,696.08 and 9,604.66 is: 14,408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794.04 : 47,696.08 = 9,604.66 : x
  2. Step 2: Convert to fraction form
    31,794.04/47,696.08 = 9,604.66/x
  3. Step 3: Cross multiply
    31,794.04x = 47,696.08 × 9,604.66
  4. Step 4: Simplify right side
    31,794.04x = 458,104,631.73
  5. Step 5: Solve for x
    x = 458,104,631.73/31,794.04
  6. Step 6: Final answer
    x = 14,408.51

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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.