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Finding the Fourth Proportional to 9,796.53, 14,693.26 and 3,222.66

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Solution

The fourth proportional to 9,796.53, 14,693.26 and 3,222.66 is: 4,833.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.53 : 14,693.26 = 3,222.66 : x
  2. Step 2: Convert to fraction form
    9,796.53/14,693.26 = 3,222.66/x
  3. Step 3: Cross multiply
    9,796.53x = 14,693.26 × 3,222.66
  4. Step 4: Simplify right side
    9,796.53x = 47,351,381.27
  5. Step 5: Solve for x
    x = 47,351,381.27/9,796.53
  6. Step 6: Final answer
    x = 4,833.49

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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.