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Finding the Fourth Proportional to 12,883.76, 17,781.02 and 7,219.44

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Solution

The fourth proportional to 12,883.76, 17,781.02 and 7,219.44 is: 9,963.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.76 : 17,781.02 = 7,219.44 : x
  2. Step 2: Convert to fraction form
    12,883.76/17,781.02 = 7,219.44/x
  3. Step 3: Cross multiply
    12,883.76x = 17,781.02 × 7,219.44
  4. Step 4: Simplify right side
    12,883.76x = 128,369,007.03
  5. Step 5: Solve for x
    x = 128,369,007.03/12,883.76
  6. Step 6: Final answer
    x = 9,963.63

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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.