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Finding the Fourth Proportional to 10,015.28, 15,024 and 4,168.64

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Solution

The fourth proportional to 10,015.28, 15,024 and 4,168.64 is: 6,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.28 : 15,024 = 4,168.64 : x
  2. Step 2: Convert to fraction form
    10,015.28/15,024 = 4,168.64/x
  3. Step 3: Cross multiply
    10,015.28x = 15,024 × 4,168.64
  4. Step 4: Simplify right side
    10,015.28x = 62,629,647.36
  5. Step 5: Solve for x
    x = 62,629,647.36/10,015.28
  6. Step 6: Final answer
    x = 6,253.41

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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.