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Finding the Fourth Proportional to 5,895.36, 8,136.12 and 3,243.16

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Solution

The fourth proportional to 5,895.36, 8,136.12 and 3,243.16 is: 4,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.36 : 8,136.12 = 3,243.16 : x
  2. Step 2: Convert to fraction form
    5,895.36/8,136.12 = 3,243.16/x
  3. Step 3: Cross multiply
    5,895.36x = 8,136.12 × 3,243.16
  4. Step 4: Simplify right side
    5,895.36x = 26,386,738.94
  5. Step 5: Solve for x
    x = 26,386,738.94/5,895.36
  6. Step 6: Final answer
    x = 4,475.85

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Half scale
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Find fourth proportional to 5,896.36, 8,137.50 and 3,244.16
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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.