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Finding the Fourth Proportional to 6,500.40, 8,970.54 and 3,516.23

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Solution

The fourth proportional to 6,500.40, 8,970.54 and 3,516.23 is: 4,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.40 : 8,970.54 = 3,516.23 : x
  2. Step 2: Convert to fraction form
    6,500.40/8,970.54 = 3,516.23/x
  3. Step 3: Cross multiply
    6,500.40x = 8,970.54 × 3,516.23
  4. Step 4: Simplify right side
    6,500.40x = 31,542,481.86
  5. Step 5: Solve for x
    x = 31,542,481.86/6,500.40
  6. Step 6: Final answer
    x = 4,852.39

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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.