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Finding the Fourth Proportional to 6,500.47, 8,970.62 and 3,516.31

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Solution

The fourth proportional to 6,500.47, 8,970.62 and 3,516.31 is: 4,852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.47 : 8,970.62 = 3,516.31 : x
  2. Step 2: Convert to fraction form
    6,500.47/8,970.62 = 3,516.31/x
  3. Step 3: Cross multiply
    6,500.47x = 8,970.62 × 3,516.31
  4. Step 4: Simplify right side
    6,500.47x = 31,543,418.38
  5. Step 5: Solve for x
    x = 31,543,418.38/6,500.47
  6. Step 6: Final answer
    x = 4,852.49

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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.