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Finding the Fourth Proportional to 6,299.96, 8,683.22 and 4,307.06

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Solution

The fourth proportional to 6,299.96, 8,683.22 and 4,307.06 is: 5,936.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.96 : 8,683.22 = 4,307.06 : x
  2. Step 2: Convert to fraction form
    6,299.96/8,683.22 = 4,307.06/x
  3. Step 3: Cross multiply
    6,299.96x = 8,683.22 × 4,307.06
  4. Step 4: Simplify right side
    6,299.96x = 37,399,182.01
  5. Step 5: Solve for x
    x = 37,399,182.01/6,299.96
  6. Step 6: Final answer
    x = 5,936.42

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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.