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Finding the Fourth Proportional to 9,463.63, 14,197.14 and 3,223.30

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Solution

The fourth proportional to 9,463.63, 14,197.14 and 3,223.30 is: 4,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.63 : 14,197.14 = 3,223.30 : x
  2. Step 2: Convert to fraction form
    9,463.63/14,197.14 = 3,223.30/x
  3. Step 3: Cross multiply
    9,463.63x = 14,197.14 × 3,223.30
  4. Step 4: Simplify right side
    9,463.63x = 45,761,641.36
  5. Step 5: Solve for x
    x = 45,761,641.36/9,463.63
  6. Step 6: Final answer
    x = 4,835.53

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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.