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Finding the Fourth Proportional to 9,493.66, 14,243.54 and 4,563.66

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Solution

The fourth proportional to 9,493.66, 14,243.54 and 4,563.66 is: 6,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.66 : 14,243.54 = 4,563.66 : x
  2. Step 2: Convert to fraction form
    9,493.66/14,243.54 = 4,563.66/x
  3. Step 3: Cross multiply
    9,493.66x = 14,243.54 × 4,563.66
  4. Step 4: Simplify right side
    9,493.66x = 65,002,673.76
  5. Step 5: Solve for x
    x = 65,002,673.76/9,493.66
  6. Step 6: Final answer
    x = 6,846.96

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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.