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Finding the Fourth Proportional to 12,792.92, 19,164.76 and 7,848.12

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Solution

The fourth proportional to 12,792.92, 19,164.76 and 7,848.12 is: 11,757.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792.92 : 19,164.76 = 7,848.12 : x
  2. Step 2: Convert to fraction form
    12,792.92/19,164.76 = 7,848.12/x
  3. Step 3: Cross multiply
    12,792.92x = 19,164.76 × 7,848.12
  4. Step 4: Simplify right side
    12,792.92x = 150,407,336.25
  5. Step 5: Solve for x
    x = 150,407,336.25/12,792.92
  6. Step 6: Final answer
    x = 11,757.08

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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.