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Finding the Fourth Proportional to 6,502.63, 8,969.98 and 3,985.96

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Solution

The fourth proportional to 6,502.63, 8,969.98 and 3,985.96 is: 5,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.63 : 8,969.98 = 3,985.96 : x
  2. Step 2: Convert to fraction form
    6,502.63/8,969.98 = 3,985.96/x
  3. Step 3: Cross multiply
    6,502.63x = 8,969.98 × 3,985.96
  4. Step 4: Simplify right side
    6,502.63x = 35,753,916.70
  5. Step 5: Solve for x
    x = 35,753,916.70/6,502.63
  6. Step 6: Final answer
    x = 5,498.38

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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.