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Finding the Fourth Proportional to 6,763, 10,140.40 and 3,060.13

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Solution

The fourth proportional to 6,763, 10,140.40 and 3,060.13 is: 4,588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763 : 10,140.40 = 3,060.13 : x
  2. Step 2: Convert to fraction form
    6,763/10,140.40 = 3,060.13/x
  3. Step 3: Cross multiply
    6,763x = 10,140.40 × 3,060.13
  4. Step 4: Simplify right side
    6,763x = 31,030,942.25
  5. Step 5: Solve for x
    x = 31,030,942.25/6,763
  6. Step 6: Final answer
    x = 4,588.34

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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.