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Finding the Fourth Proportional to 5,635.63, 8,453.98 and 1,531.63

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Solution

The fourth proportional to 5,635.63, 8,453.98 and 1,531.63 is: 2,297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.63 : 8,453.98 = 1,531.63 : x
  2. Step 2: Convert to fraction form
    5,635.63/8,453.98 = 1,531.63/x
  3. Step 3: Cross multiply
    5,635.63x = 8,453.98 × 1,531.63
  4. Step 4: Simplify right side
    5,635.63x = 12,948,327.12
  5. Step 5: Solve for x
    x = 12,948,327.12/5,635.63
  6. Step 6: Final answer
    x = 2,297.58

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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.