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Finding the Fourth Proportional to 6,505.30, 9,743.55 and 3,913.30

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Solution

The fourth proportional to 6,505.30, 9,743.55 and 3,913.30 is: 5,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.30 : 9,743.55 = 3,913.30 : x
  2. Step 2: Convert to fraction form
    6,505.30/9,743.55 = 3,913.30/x
  3. Step 3: Cross multiply
    6,505.30x = 9,743.55 × 3,913.30
  4. Step 4: Simplify right side
    6,505.30x = 38,129,434.22
  5. Step 5: Solve for x
    x = 38,129,434.22/6,505.30
  6. Step 6: Final answer
    x = 5,861.29

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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.