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Finding the Fourth Proportional to 6,506.81, 8,977.16 and 3,673.83

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Solution

The fourth proportional to 6,506.81, 8,977.16 and 3,673.83 is: 5,068.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.81 : 8,977.16 = 3,673.83 : x
  2. Step 2: Convert to fraction form
    6,506.81/8,977.16 = 3,673.83/x
  3. Step 3: Cross multiply
    6,506.81x = 8,977.16 × 3,673.83
  4. Step 4: Simplify right side
    6,506.81x = 32,980,541.35
  5. Step 5: Solve for x
    x = 32,980,541.35/6,506.81
  6. Step 6: Final answer
    x = 5,068.62

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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.