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Finding the Fourth Proportional to 6,466.55, 9,692.30 and 3,695.16

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Solution

The fourth proportional to 6,466.55, 9,692.30 and 3,695.16 is: 5,538.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.55 : 9,692.30 = 3,695.16 : x
  2. Step 2: Convert to fraction form
    6,466.55/9,692.30 = 3,695.16/x
  3. Step 3: Cross multiply
    6,466.55x = 9,692.30 × 3,695.16
  4. Step 4: Simplify right side
    6,466.55x = 35,814,580.79
  5. Step 5: Solve for x
    x = 35,814,580.79/6,466.55
  6. Step 6: Final answer
    x = 5,538.44

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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.