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Finding the Fourth Proportional to 9,903.92, 14,857.47 and 3,238.47

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Solution

The fourth proportional to 9,903.92, 14,857.47 and 3,238.47 is: 4,858.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.92 : 14,857.47 = 3,238.47 : x
  2. Step 2: Convert to fraction form
    9,903.92/14,857.47 = 3,238.47/x
  3. Step 3: Cross multiply
    9,903.92x = 14,857.47 × 3,238.47
  4. Step 4: Simplify right side
    9,903.92x = 48,115,470.87
  5. Step 5: Solve for x
    x = 48,115,470.87/9,903.92
  6. Step 6: Final answer
    x = 4,858.23

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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.