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Finding the Fourth Proportional to 6,137.23, 9,206.63 and 6,042.24

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Solution

The fourth proportional to 6,137.23, 9,206.63 and 6,042.24 is: 9,064.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.23 : 9,206.63 = 6,042.24 : x
  2. Step 2: Convert to fraction form
    6,137.23/9,206.63 = 6,042.24/x
  3. Step 3: Cross multiply
    6,137.23x = 9,206.63 × 6,042.24
  4. Step 4: Simplify right side
    6,137.23x = 55,628,668.05
  5. Step 5: Solve for x
    x = 55,628,668.05/6,137.23
  6. Step 6: Final answer
    x = 9,064.13

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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.