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Finding the Fourth Proportional to 6,497.23, 8,967.14 and 3,845.50

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Solution

The fourth proportional to 6,497.23, 8,967.14 and 3,845.50 is: 5,307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.23 : 8,967.14 = 3,845.50 : x
  2. Step 2: Convert to fraction form
    6,497.23/8,967.14 = 3,845.50/x
  3. Step 3: Cross multiply
    6,497.23x = 8,967.14 × 3,845.50
  4. Step 4: Simplify right side
    6,497.23x = 34,483,136.87
  5. Step 5: Solve for x
    x = 34,483,136.87/6,497.23
  6. Step 6: Final answer
    x = 5,307.36

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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.