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Finding the Fourth Proportional to 6,355.86, 9,533.86 and 1,676.55

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Solution

The fourth proportional to 6,355.86, 9,533.86 and 1,676.55 is: 2,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.86 : 9,533.86 = 1,676.55 : x
  2. Step 2: Convert to fraction form
    6,355.86/9,533.86 = 1,676.55/x
  3. Step 3: Cross multiply
    6,355.86x = 9,533.86 × 1,676.55
  4. Step 4: Simplify right side
    6,355.86x = 15,983,945.31
  5. Step 5: Solve for x
    x = 15,983,945.31/6,355.86
  6. Step 6: Final answer
    x = 2,514.84

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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.