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Finding the Fourth Proportional to 9,799.21, 14,693.28 and 3,223.63

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Solution

The fourth proportional to 9,799.21, 14,693.28 and 3,223.63 is: 4,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.21 : 14,693.28 = 3,223.63 : x
  2. Step 2: Convert to fraction form
    9,799.21/14,693.28 = 3,223.63/x
  3. Step 3: Cross multiply
    9,799.21x = 14,693.28 × 3,223.63
  4. Step 4: Simplify right side
    9,799.21x = 47,365,698.21
  5. Step 5: Solve for x
    x = 47,365,698.21/9,799.21
  6. Step 6: Final answer
    x = 4,833.62

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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.