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Finding the Fourth Proportional to 15,968.16, 22,039.74 and 9,257.51

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Solution

The fourth proportional to 15,968.16, 22,039.74 and 9,257.51 is: 12,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,968.16 : 22,039.74 = 9,257.51 : x
  2. Step 2: Convert to fraction form
    15,968.16/22,039.74 = 9,257.51/x
  3. Step 3: Cross multiply
    15,968.16x = 22,039.74 × 9,257.51
  4. Step 4: Simplify right side
    15,968.16x = 204,033,003.25
  5. Step 5: Solve for x
    x = 204,033,003.25/15,968.16
  6. Step 6: Final answer
    x = 12,777.49

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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.