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Finding the Fourth Proportional to 6,461.84, 9,692.56 and 1,844.80

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Solution

The fourth proportional to 6,461.84, 9,692.56 and 1,844.80 is: 2,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.84 : 9,692.56 = 1,844.80 : x
  2. Step 2: Convert to fraction form
    6,461.84/9,692.56 = 1,844.80/x
  3. Step 3: Cross multiply
    6,461.84x = 9,692.56 × 1,844.80
  4. Step 4: Simplify right side
    6,461.84x = 17,880,834.69
  5. Step 5: Solve for x
    x = 17,880,834.69/6,461.84
  6. Step 6: Final answer
    x = 2,767.14

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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.