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Finding the Fourth Proportional to 12,192, 16,824.96 and 7,224.96

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Solution

The fourth proportional to 12,192, 16,824.96 and 7,224.96 is: 9,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192 : 16,824.96 = 7,224.96 : x
  2. Step 2: Convert to fraction form
    12,192/16,824.96 = 7,224.96/x
  3. Step 3: Cross multiply
    12,192x = 16,824.96 × 7,224.96
  4. Step 4: Simplify right side
    12,192x = 121,559,663.00
  5. Step 5: Solve for x
    x = 121,559,663.00/12,192
  6. Step 6: Final answer
    x = 9,970.44

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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.