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Finding the Fourth Proportional to 5,453.71, 8,166.84 and 4,954.30

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Solution

The fourth proportional to 5,453.71, 8,166.84 and 4,954.30 is: 7,418.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,453.71 : 8,166.84 = 4,954.30 : x
  2. Step 2: Convert to fraction form
    5,453.71/8,166.84 = 4,954.30/x
  3. Step 3: Cross multiply
    5,453.71x = 8,166.84 × 4,954.30
  4. Step 4: Simplify right side
    5,453.71x = 40,460,975.41
  5. Step 5: Solve for x
    x = 40,460,975.41/5,453.71
  6. Step 6: Final answer
    x = 7,418.98

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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.