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Finding the Fourth Proportional to 9,057.87, 12,506.94 and 5,872.68

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Solution

The fourth proportional to 9,057.87, 12,506.94 and 5,872.68 is: 8,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.87 : 12,506.94 = 5,872.68 : x
  2. Step 2: Convert to fraction form
    9,057.87/12,506.94 = 5,872.68/x
  3. Step 3: Cross multiply
    9,057.87x = 12,506.94 × 5,872.68
  4. Step 4: Simplify right side
    9,057.87x = 73,449,256.40
  5. Step 5: Solve for x
    x = 73,449,256.40/9,057.87
  6. Step 6: Final answer
    x = 8,108.89

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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.