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Finding the Fourth Proportional to 10,571.22, 15,855.90 and 6,410

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Solution

The fourth proportional to 10,571.22, 15,855.90 and 6,410 is: 9,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.22 : 15,855.90 = 6,410 : x
  2. Step 2: Convert to fraction form
    10,571.22/15,855.90 = 6,410/x
  3. Step 3: Cross multiply
    10,571.22x = 15,855.90 × 6,410
  4. Step 4: Simplify right side
    10,571.22x = 101,636,319
  5. Step 5: Solve for x
    x = 101,636,319/10,571.22
  6. Step 6: Final answer
    x = 9,614.44

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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.