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Finding the Fourth Proportional to 6,530.28, 9,795.07 and 4,031.94

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Solution

The fourth proportional to 6,530.28, 9,795.07 and 4,031.94 is: 6,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.28 : 9,795.07 = 4,031.94 : x
  2. Step 2: Convert to fraction form
    6,530.28/9,795.07 = 4,031.94/x
  3. Step 3: Cross multiply
    6,530.28x = 9,795.07 × 4,031.94
  4. Step 4: Simplify right side
    6,530.28x = 39,493,134.54
  5. Step 5: Solve for x
    x = 39,493,134.54/6,530.28
  6. Step 6: Final answer
    x = 6,047.69

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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.