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Finding the Fourth Proportional to 6,455.50, 9,668.52 and 5,289.10

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Solution

The fourth proportional to 6,455.50, 9,668.52 and 5,289.10 is: 7,921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.50 : 9,668.52 = 5,289.10 : x
  2. Step 2: Convert to fraction form
    6,455.50/9,668.52 = 5,289.10/x
  3. Step 3: Cross multiply
    6,455.50x = 9,668.52 × 5,289.10
  4. Step 4: Simplify right side
    6,455.50x = 51,137,769.13
  5. Step 5: Solve for x
    x = 51,137,769.13/6,455.50
  6. Step 6: Final answer
    x = 7,921.58

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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.