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Finding the Fourth Proportional to 6,137.52, 8,454.78 and 4,453.98

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Solution

The fourth proportional to 6,137.52, 8,454.78 and 4,453.98 is: 6,135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.52 : 8,454.78 = 4,453.98 : x
  2. Step 2: Convert to fraction form
    6,137.52/8,454.78 = 4,453.98/x
  3. Step 3: Cross multiply
    6,137.52x = 8,454.78 × 4,453.98
  4. Step 4: Simplify right side
    6,137.52x = 37,657,421.02
  5. Step 5: Solve for x
    x = 37,657,421.02/6,137.52
  6. Step 6: Final answer
    x = 6,135.61

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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.