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Finding the Fourth Proportional to 6,692.76, 10,038.87 and 3,184.47

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Solution

The fourth proportional to 6,692.76, 10,038.87 and 3,184.47 is: 4,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.76 : 10,038.87 = 3,184.47 : x
  2. Step 2: Convert to fraction form
    6,692.76/10,038.87 = 3,184.47/x
  3. Step 3: Cross multiply
    6,692.76x = 10,038.87 × 3,184.47
  4. Step 4: Simplify right side
    6,692.76x = 31,968,480.35
  5. Step 5: Solve for x
    x = 31,968,480.35/6,692.76
  6. Step 6: Final answer
    x = 4,776.58

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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.