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Finding the Fourth Proportional to 19,797.82, 27,321 and 10,845.64

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Solution

The fourth proportional to 19,797.82, 27,321 and 10,845.64 is: 14,966.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,797.82 : 27,321 = 10,845.64 : x
  2. Step 2: Convert to fraction form
    19,797.82/27,321 = 10,845.64/x
  3. Step 3: Cross multiply
    19,797.82x = 27,321 × 10,845.64
  4. Step 4: Simplify right side
    19,797.82x = 296,313,730.44
  5. Step 5: Solve for x
    x = 296,313,730.44/19,797.82
  6. Step 6: Final answer
    x = 14,966.99

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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.