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Finding the Fourth Proportional to 33,002.37, 49,502.74 and 9,629.01

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Solution

The fourth proportional to 33,002.37, 49,502.74 and 9,629.01 is: 14,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,002.37 : 49,502.74 = 9,629.01 : x
  2. Step 2: Convert to fraction form
    33,002.37/49,502.74 = 9,629.01/x
  3. Step 3: Cross multiply
    33,002.37x = 49,502.74 × 9,629.01
  4. Step 4: Simplify right side
    33,002.37x = 476,662,378.49
  5. Step 5: Solve for x
    x = 476,662,378.49/33,002.37
  6. Step 6: Final answer
    x = 14,443.28

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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.