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Finding the Fourth Proportional to 12,905.99, 17,811 and 7,240.44

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Solution

The fourth proportional to 12,905.99, 17,811 and 7,240.44 is: 9,992.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.99 : 17,811 = 7,240.44 : x
  2. Step 2: Convert to fraction form
    12,905.99/17,811 = 7,240.44/x
  3. Step 3: Cross multiply
    12,905.99x = 17,811 × 7,240.44
  4. Step 4: Simplify right side
    12,905.99x = 128,959,476.84
  5. Step 5: Solve for x
    x = 128,959,476.84/12,905.99
  6. Step 6: Final answer
    x = 9,992.22

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Half scale
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Double scale
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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.