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Finding the Fourth Proportional to 6,205.34, 8,553.41 and 4,858.68

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Solution

The fourth proportional to 6,205.34, 8,553.41 and 4,858.68 is: 6,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.34 : 8,553.41 = 4,858.68 : x
  2. Step 2: Convert to fraction form
    6,205.34/8,553.41 = 4,858.68/x
  3. Step 3: Cross multiply
    6,205.34x = 8,553.41 × 4,858.68
  4. Step 4: Simplify right side
    6,205.34x = 41,558,282.10
  5. Step 5: Solve for x
    x = 41,558,282.10/6,205.34
  6. Step 6: Final answer
    x = 6,697.18

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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.