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Finding the Fourth Proportional to 6,201.70, 9,237.72 and 6,180.10

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Solution

The fourth proportional to 6,201.70, 9,237.72 and 6,180.10 is: 9,205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.70 : 9,237.72 = 6,180.10 : x
  2. Step 2: Convert to fraction form
    6,201.70/9,237.72 = 6,180.10/x
  3. Step 3: Cross multiply
    6,201.70x = 9,237.72 × 6,180.10
  4. Step 4: Simplify right side
    6,201.70x = 57,090,033.37
  5. Step 5: Solve for x
    x = 57,090,033.37/6,201.70
  6. Step 6: Final answer
    x = 9,205.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.