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Finding the Fourth Proportional to 6,137.48, 8,469.93 and 3,485

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Solution

The fourth proportional to 6,137.48, 8,469.93 and 3,485 is: 4,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.48 : 8,469.93 = 3,485 : x
  2. Step 2: Convert to fraction form
    6,137.48/8,469.93 = 3,485/x
  3. Step 3: Cross multiply
    6,137.48x = 8,469.93 × 3,485
  4. Step 4: Simplify right side
    6,137.48x = 29,517,706.05
  5. Step 5: Solve for x
    x = 29,517,706.05/6,137.48
  6. Step 6: Final answer
    x = 4,809.42

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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.