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Finding the Fourth Proportional to 6,505.24, 8,967.87 and 4,639

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Solution

The fourth proportional to 6,505.24, 8,967.87 and 4,639 is: 6,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.24 : 8,967.87 = 4,639 : x
  2. Step 2: Convert to fraction form
    6,505.24/8,967.87 = 4,639/x
  3. Step 3: Cross multiply
    6,505.24x = 8,967.87 × 4,639
  4. Step 4: Simplify right side
    6,505.24x = 41,601,948.93
  5. Step 5: Solve for x
    x = 41,601,948.93/6,505.24
  6. Step 6: Final answer
    x = 6,395.14

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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.