Home / 6,477-8,938.26-3,683.04

Finding the Fourth Proportional to 6,477, 8,938.26 and 3,683.04

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Solution

The fourth proportional to 6,477, 8,938.26 and 3,683.04 is: 5,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477 : 8,938.26 = 3,683.04 : x
  2. Step 2: Convert to fraction form
    6,477/8,938.26 = 3,683.04/x
  3. Step 3: Cross multiply
    6,477x = 8,938.26 × 3,683.04
  4. Step 4: Simplify right side
    6,477x = 32,919,969.11
  5. Step 5: Solve for x
    x = 32,919,969.11/6,477
  6. Step 6: Final answer
    x = 5,082.60

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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.