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Finding the Fourth Proportional to 14,807.25, 20,434.01 and 8,183.25

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Solution

The fourth proportional to 14,807.25, 20,434.01 and 8,183.25 is: 11,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.25 : 20,434.01 = 8,183.25 : x
  2. Step 2: Convert to fraction form
    14,807.25/20,434.01 = 8,183.25/x
  3. Step 3: Cross multiply
    14,807.25x = 20,434.01 × 8,183.25
  4. Step 4: Simplify right side
    14,807.25x = 167,216,571.42
  5. Step 5: Solve for x
    x = 167,216,571.42/14,807.25
  6. Step 6: Final answer
    x = 11,292.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.