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Finding the Fourth Proportional to 9,650.28, 13,328.28 and 6,501

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Solution

The fourth proportional to 9,650.28, 13,328.28 and 6,501 is: 8,978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.28 : 13,328.28 = 6,501 : x
  2. Step 2: Convert to fraction form
    9,650.28/13,328.28 = 6,501/x
  3. Step 3: Cross multiply
    9,650.28x = 13,328.28 × 6,501
  4. Step 4: Simplify right side
    9,650.28x = 86,647,148.28
  5. Step 5: Solve for x
    x = 86,647,148.28/9,650.28
  6. Step 6: Final answer
    x = 8,978.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.