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Finding the Fourth Proportional to 14,896.96, 22,311.42 and 7,111.24

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Solution

The fourth proportional to 14,896.96, 22,311.42 and 7,111.24 is: 10,650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.96 : 22,311.42 = 7,111.24 : x
  2. Step 2: Convert to fraction form
    14,896.96/22,311.42 = 7,111.24/x
  3. Step 3: Cross multiply
    14,896.96x = 22,311.42 × 7,111.24
  4. Step 4: Simplify right side
    14,896.96x = 158,661,862.36
  5. Step 5: Solve for x
    x = 158,661,862.36/14,896.96
  6. Step 6: Final answer
    x = 10,650.62

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Half scale
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Double scale
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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.