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Finding the Fourth Proportional to 6,530.65, 9,795.98 and 1,600.22

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Solution

The fourth proportional to 6,530.65, 9,795.98 and 1,600.22 is: 2,400.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.65 : 9,795.98 = 1,600.22 : x
  2. Step 2: Convert to fraction form
    6,530.65/9,795.98 = 1,600.22/x
  3. Step 3: Cross multiply
    6,530.65x = 9,795.98 × 1,600.22
  4. Step 4: Simplify right side
    6,530.65x = 15,675,723.12
  5. Step 5: Solve for x
    x = 15,675,723.12/6,530.65
  6. Step 6: Final answer
    x = 2,400.33

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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.