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Finding the Fourth Proportional to 10,602.94, 15,906.27 and 4,029.70

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Solution

The fourth proportional to 10,602.94, 15,906.27 and 4,029.70 is: 6,045.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.94 : 15,906.27 = 4,029.70 : x
  2. Step 2: Convert to fraction form
    10,602.94/15,906.27 = 4,029.70/x
  3. Step 3: Cross multiply
    10,602.94x = 15,906.27 × 4,029.70
  4. Step 4: Simplify right side
    10,602.94x = 64,097,496.22
  5. Step 5: Solve for x
    x = 64,097,496.22/10,602.94
  6. Step 6: Final answer
    x = 6,045.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.