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Finding the Fourth Proportional to 6,995.33, 10,462 and 6,220.76

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Solution

The fourth proportional to 6,995.33, 10,462 and 6,220.76 is: 9,303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.33 : 10,462 = 6,220.76 : x
  2. Step 2: Convert to fraction form
    6,995.33/10,462 = 6,220.76/x
  3. Step 3: Cross multiply
    6,995.33x = 10,462 × 6,220.76
  4. Step 4: Simplify right side
    6,995.33x = 65,081,591.12
  5. Step 5: Solve for x
    x = 65,081,591.12/6,995.33
  6. Step 6: Final answer
    x = 9,303.58

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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.