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Finding the Fourth Proportional to 6,500.70, 8,970.96 and 3,516.53

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Solution

The fourth proportional to 6,500.70, 8,970.96 and 3,516.53 is: 4,852.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.70 : 8,970.96 = 3,516.53 : x
  2. Step 2: Convert to fraction form
    6,500.70/8,970.96 = 3,516.53/x
  3. Step 3: Cross multiply
    6,500.70x = 8,970.96 × 3,516.53
  4. Step 4: Simplify right side
    6,500.70x = 31,546,649.97
  5. Step 5: Solve for x
    x = 31,546,649.97/6,500.70
  6. Step 6: Final answer
    x = 4,852.81

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