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Finding the Fourth Proportional to 14,296.92, 19,731.68 and 8,330.46

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Solution

The fourth proportional to 14,296.92, 19,731.68 and 8,330.46 is: 11,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.92 : 19,731.68 = 8,330.46 : x
  2. Step 2: Convert to fraction form
    14,296.92/19,731.68 = 8,330.46/x
  3. Step 3: Cross multiply
    14,296.92x = 19,731.68 × 8,330.46
  4. Step 4: Simplify right side
    14,296.92x = 164,373,970.97
  5. Step 5: Solve for x
    x = 164,373,970.97/14,296.92
  6. Step 6: Final answer
    x = 11,497.16

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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.