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Finding the Fourth Proportional to 12,599.67, 17,388.63 and 6,935.54

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Solution

The fourth proportional to 12,599.67, 17,388.63 and 6,935.54 is: 9,571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,599.67 : 17,388.63 = 6,935.54 : x
  2. Step 2: Convert to fraction form
    12,599.67/17,388.63 = 6,935.54/x
  3. Step 3: Cross multiply
    12,599.67x = 17,388.63 × 6,935.54
  4. Step 4: Simplify right side
    12,599.67x = 120,599,504.23
  5. Step 5: Solve for x
    x = 120,599,504.23/12,599.67
  6. Step 6: Final answer
    x = 9,571.64

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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.