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Finding the Fourth Proportional to 7,011.05, 9,676.30 and 4,496

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Solution

The fourth proportional to 7,011.05, 9,676.30 and 4,496 is: 6,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.05 : 9,676.30 = 4,496 : x
  2. Step 2: Convert to fraction form
    7,011.05/9,676.30 = 4,496/x
  3. Step 3: Cross multiply
    7,011.05x = 9,676.30 × 4,496
  4. Step 4: Simplify right side
    7,011.05x = 43,504,644.80
  5. Step 5: Solve for x
    x = 43,504,644.80/7,011.05
  6. Step 6: Final answer
    x = 6,205.15

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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.