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Finding the Fourth Proportional to 6,283.98, 9,439.74 and 5,453.46

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Solution

The fourth proportional to 6,283.98, 9,439.74 and 5,453.46 is: 8,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.98 : 9,439.74 = 5,453.46 : x
  2. Step 2: Convert to fraction form
    6,283.98/9,439.74 = 5,453.46/x
  3. Step 3: Cross multiply
    6,283.98x = 9,439.74 × 5,453.46
  4. Step 4: Simplify right side
    6,283.98x = 51,479,244.50
  5. Step 5: Solve for x
    x = 51,479,244.50/6,283.98
  6. Step 6: Final answer
    x = 8,192.14

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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.