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Finding the Fourth Proportional to 6,749.49, 10,075.41 and 5,830.95

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Solution

The fourth proportional to 6,749.49, 10,075.41 and 5,830.95 is: 8,704.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.49 : 10,075.41 = 5,830.95 : x
  2. Step 2: Convert to fraction form
    6,749.49/10,075.41 = 5,830.95/x
  3. Step 3: Cross multiply
    6,749.49x = 10,075.41 × 5,830.95
  4. Step 4: Simplify right side
    6,749.49x = 58,749,211.94
  5. Step 5: Solve for x
    x = 58,749,211.94/6,749.49
  6. Step 6: Final answer
    x = 8,704.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.