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Finding the Fourth Proportional to 6,137.64, 9,204.90 and 1,753.92

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Solution

The fourth proportional to 6,137.64, 9,204.90 and 1,753.92 is: 2,630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.64 : 9,204.90 = 1,753.92 : x
  2. Step 2: Convert to fraction form
    6,137.64/9,204.90 = 1,753.92/x
  3. Step 3: Cross multiply
    6,137.64x = 9,204.90 × 1,753.92
  4. Step 4: Simplify right side
    6,137.64x = 16,144,658.21
  5. Step 5: Solve for x
    x = 16,144,658.21/6,137.64
  6. Step 6: Final answer
    x = 2,630.43

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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.