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Finding the Fourth Proportional to 9,640.02, 13,305.24 and 5,662.02

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Solution

The fourth proportional to 9,640.02, 13,305.24 and 5,662.02 is: 7,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.02 : 13,305.24 = 5,662.02 : x
  2. Step 2: Convert to fraction form
    9,640.02/13,305.24 = 5,662.02/x
  3. Step 3: Cross multiply
    9,640.02x = 13,305.24 × 5,662.02
  4. Step 4: Simplify right side
    9,640.02x = 75,334,534.98
  5. Step 5: Solve for x
    x = 75,334,534.98/9,640.02
  6. Step 6: Final answer
    x = 7,814.77

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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.