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Finding the Fourth Proportional to 12,904.16, 17,809.09 and 7,240.44

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Solution

The fourth proportional to 12,904.16, 17,809.09 and 7,240.44 is: 9,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.16 : 17,809.09 = 7,240.44 : x
  2. Step 2: Convert to fraction form
    12,904.16/17,809.09 = 7,240.44/x
  3. Step 3: Cross multiply
    12,904.16x = 17,809.09 × 7,240.44
  4. Step 4: Simplify right side
    12,904.16x = 128,945,616.47
  5. Step 5: Solve for x
    x = 128,945,616.47/12,904.16
  6. Step 6: Final answer
    x = 9,992.56

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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.