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Finding the Fourth Proportional to 12,035.94, 16,611.39 and 7,003.14

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Solution

The fourth proportional to 12,035.94, 16,611.39 and 7,003.14 is: 9,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,035.94 : 16,611.39 = 7,003.14 : x
  2. Step 2: Convert to fraction form
    12,035.94/16,611.39 = 7,003.14/x
  3. Step 3: Cross multiply
    12,035.94x = 16,611.39 × 7,003.14
  4. Step 4: Simplify right side
    12,035.94x = 116,331,889.76
  5. Step 5: Solve for x
    x = 116,331,889.76/12,035.94
  6. Step 6: Final answer
    x = 9,665.38

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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.