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Finding the Fourth Proportional to 6,500.96, 8,971.29 and 3,516.77

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Solution

The fourth proportional to 6,500.96, 8,971.29 and 3,516.77 is: 4,853.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.96 : 8,971.29 = 3,516.77 : x
  2. Step 2: Convert to fraction form
    6,500.96/8,971.29 = 3,516.77/x
  3. Step 3: Cross multiply
    6,500.96x = 8,971.29 × 3,516.77
  4. Step 4: Simplify right side
    6,500.96x = 31,549,963.53
  5. Step 5: Solve for x
    x = 31,549,963.53/6,500.96
  6. Step 6: Final answer
    x = 4,853.12

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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.