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Finding the Fourth Proportional to 9,838.50, 14,729.69 and 9,217.73

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Solution

The fourth proportional to 9,838.50, 14,729.69 and 9,217.73 is: 13,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.50 : 14,729.69 = 9,217.73 : x
  2. Step 2: Convert to fraction form
    9,838.50/14,729.69 = 9,217.73/x
  3. Step 3: Cross multiply
    9,838.50x = 14,729.69 × 9,217.73
  4. Step 4: Simplify right side
    9,838.50x = 135,774,185.67
  5. Step 5: Solve for x
    x = 135,774,185.67/9,838.50
  6. Step 6: Final answer
    x = 13,800.29

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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.