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Finding the Fourth Proportional to 7,692.02, 10,609.02 and 4,965.56

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Solution

The fourth proportional to 7,692.02, 10,609.02 and 4,965.56 is: 6,848.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.02 : 10,609.02 = 4,965.56 : x
  2. Step 2: Convert to fraction form
    7,692.02/10,609.02 = 4,965.56/x
  3. Step 3: Cross multiply
    7,692.02x = 10,609.02 × 4,965.56
  4. Step 4: Simplify right side
    7,692.02x = 52,679,672.31
  5. Step 5: Solve for x
    x = 52,679,672.31/7,692.02
  6. Step 6: Final answer
    x = 6,848.62

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1.5x scale

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.