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Finding the Fourth Proportional to 11,792.96, 16,281 and 7,819.44

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Solution

The fourth proportional to 11,792.96, 16,281 and 7,819.44 is: 10,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.96 : 16,281 = 7,819.44 : x
  2. Step 2: Convert to fraction form
    11,792.96/16,281 = 7,819.44/x
  3. Step 3: Cross multiply
    11,792.96x = 16,281 × 7,819.44
  4. Step 4: Simplify right side
    11,792.96x = 127,308,302.64
  5. Step 5: Solve for x
    x = 127,308,302.64/11,792.96
  6. Step 6: Final answer
    x = 10,795.28

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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.