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Finding the Fourth Proportional to 5,476.82, 8,211.63 and 1,965.06

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Solution

The fourth proportional to 5,476.82, 8,211.63 and 1,965.06 is: 2,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.82 : 8,211.63 = 1,965.06 : x
  2. Step 2: Convert to fraction form
    5,476.82/8,211.63 = 1,965.06/x
  3. Step 3: Cross multiply
    5,476.82x = 8,211.63 × 1,965.06
  4. Step 4: Simplify right side
    5,476.82x = 16,136,341.96
  5. Step 5: Solve for x
    x = 16,136,341.96/5,476.82
  6. Step 6: Final answer
    x = 2,946.30

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1.5x scale

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.