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Finding the Fourth Proportional to 5,895.78, 8,136.13 and 3,243.13

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Solution

The fourth proportional to 5,895.78, 8,136.13 and 3,243.13 is: 4,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.78 : 8,136.13 = 3,243.13 : x
  2. Step 2: Convert to fraction form
    5,895.78/8,136.13 = 3,243.13/x
  3. Step 3: Cross multiply
    5,895.78x = 8,136.13 × 3,243.13
  4. Step 4: Simplify right side
    5,895.78x = 26,386,527.29
  5. Step 5: Solve for x
    x = 26,386,527.29/5,895.78
  6. Step 6: Final answer
    x = 4,475.49

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Half scale
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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.