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Finding the Fourth Proportional to 6,495.60, 9,745 and 2,113.28

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Solution

The fourth proportional to 6,495.60, 9,745 and 2,113.28 is: 3,170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.60 : 9,745 = 2,113.28 : x
  2. Step 2: Convert to fraction form
    6,495.60/9,745 = 2,113.28/x
  3. Step 3: Cross multiply
    6,495.60x = 9,745 × 2,113.28
  4. Step 4: Simplify right side
    6,495.60x = 20,593,913.60
  5. Step 5: Solve for x
    x = 20,593,913.60/6,495.60
  6. Step 6: Final answer
    x = 3,170.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.