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Finding the Fourth Proportional to 6,298.65, 8,692.67 and 3,466.57

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Solution

The fourth proportional to 6,298.65, 8,692.67 and 3,466.57 is: 4,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.65 : 8,692.67 = 3,466.57 : x
  2. Step 2: Convert to fraction form
    6,298.65/8,692.67 = 3,466.57/x
  3. Step 3: Cross multiply
    6,298.65x = 8,692.67 × 3,466.57
  4. Step 4: Simplify right side
    6,298.65x = 30,133,713.18
  5. Step 5: Solve for x
    x = 30,133,713.18/6,298.65
  6. Step 6: Final answer
    x = 4,784.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.