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Finding the Fourth Proportional to 8,597.44, 12,837.94 and 6,822.51

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Solution

The fourth proportional to 8,597.44, 12,837.94 and 6,822.51 is: 10,187.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.44 : 12,837.94 = 6,822.51 : x
  2. Step 2: Convert to fraction form
    8,597.44/12,837.94 = 6,822.51/x
  3. Step 3: Cross multiply
    8,597.44x = 12,837.94 × 6,822.51
  4. Step 4: Simplify right side
    8,597.44x = 87,586,974.03
  5. Step 5: Solve for x
    x = 87,586,974.03/8,597.44
  6. Step 6: Final answer
    x = 10,187.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.