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Finding the Fourth Proportional to 10,643.28, 15,968.01 and 4,402.14

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Solution

The fourth proportional to 10,643.28, 15,968.01 and 4,402.14 is: 6,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.28 : 15,968.01 = 4,402.14 : x
  2. Step 2: Convert to fraction form
    10,643.28/15,968.01 = 4,402.14/x
  3. Step 3: Cross multiply
    10,643.28x = 15,968.01 × 4,402.14
  4. Step 4: Simplify right side
    10,643.28x = 70,293,415.54
  5. Step 5: Solve for x
    x = 70,293,415.54/10,643.28
  6. Step 6: Final answer
    x = 6,604.49

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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.