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Finding the Fourth Proportional to 6,381.16, 9,514.43 and 6,137.56

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Solution

The fourth proportional to 6,381.16, 9,514.43 and 6,137.56 is: 9,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.16 : 9,514.43 = 6,137.56 : x
  2. Step 2: Convert to fraction form
    6,381.16/9,514.43 = 6,137.56/x
  3. Step 3: Cross multiply
    6,381.16x = 9,514.43 × 6,137.56
  4. Step 4: Simplify right side
    6,381.16x = 58,395,384.99
  5. Step 5: Solve for x
    x = 58,395,384.99/6,381.16
  6. Step 6: Final answer
    x = 9,151.22

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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.