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Finding the Fourth Proportional to 6,401.28, 9,602.46 and 1,721.28

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Solution

The fourth proportional to 6,401.28, 9,602.46 and 1,721.28 is: 2,582.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.28 : 9,602.46 = 1,721.28 : x
  2. Step 2: Convert to fraction form
    6,401.28/9,602.46 = 1,721.28/x
  3. Step 3: Cross multiply
    6,401.28x = 9,602.46 × 1,721.28
  4. Step 4: Simplify right side
    6,401.28x = 16,528,522.35
  5. Step 5: Solve for x
    x = 16,528,522.35/6,401.28
  6. Step 6: Final answer
    x = 2,582.07

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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.