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Finding the Fourth Proportional to 6,158.34, 9,237.57 and 2,461.50

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Solution

The fourth proportional to 6,158.34, 9,237.57 and 2,461.50 is: 3,692.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.34 : 9,237.57 = 2,461.50 : x
  2. Step 2: Convert to fraction form
    6,158.34/9,237.57 = 2,461.50/x
  3. Step 3: Cross multiply
    6,158.34x = 9,237.57 × 2,461.50
  4. Step 4: Simplify right side
    6,158.34x = 22,738,278.56
  5. Step 5: Solve for x
    x = 22,738,278.56/6,158.34
  6. Step 6: Final answer
    x = 3,692.27

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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.