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Finding the Fourth Proportional to 6,530.22, 9,795.87 and 2,146.64

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Solution

The fourth proportional to 6,530.22, 9,795.87 and 2,146.64 is: 3,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.22 : 9,795.87 = 2,146.64 : x
  2. Step 2: Convert to fraction form
    6,530.22/9,795.87 = 2,146.64/x
  3. Step 3: Cross multiply
    6,530.22x = 9,795.87 × 2,146.64
  4. Step 4: Simplify right side
    6,530.22x = 21,028,157.40
  5. Step 5: Solve for x
    x = 21,028,157.40/6,530.22
  6. Step 6: Final answer
    x = 3,220.13

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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.