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Finding the Fourth Proportional to 11,896.48, 16,425.12 and 10,633.48

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Solution

The fourth proportional to 11,896.48, 16,425.12 and 10,633.48 is: 14,681.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.48 : 16,425.12 = 10,633.48 : x
  2. Step 2: Convert to fraction form
    11,896.48/16,425.12 = 10,633.48/x
  3. Step 3: Cross multiply
    11,896.48x = 16,425.12 × 10,633.48
  4. Step 4: Simplify right side
    11,896.48x = 174,656,185.02
  5. Step 5: Solve for x
    x = 174,656,185.02/11,896.48
  6. Step 6: Final answer
    x = 14,681.33

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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.