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Finding the Fourth Proportional to 6,197.56, 9,302.41 and 4,549.43

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Solution

The fourth proportional to 6,197.56, 9,302.41 and 4,549.43 is: 6,828.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.56 : 9,302.41 = 4,549.43 : x
  2. Step 2: Convert to fraction form
    6,197.56/9,302.41 = 4,549.43/x
  3. Step 3: Cross multiply
    6,197.56x = 9,302.41 × 4,549.43
  4. Step 4: Simplify right side
    6,197.56x = 42,320,663.13
  5. Step 5: Solve for x
    x = 42,320,663.13/6,197.56
  6. Step 6: Final answer
    x = 6,828.61

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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.