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Finding the Fourth Proportional to 6,484.92, 8,961.30 and 5,305.56

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Solution

The fourth proportional to 6,484.92, 8,961.30 and 5,305.56 is: 7,331.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.92 : 8,961.30 = 5,305.56 : x
  2. Step 2: Convert to fraction form
    6,484.92/8,961.30 = 5,305.56/x
  3. Step 3: Cross multiply
    6,484.92x = 8,961.30 × 5,305.56
  4. Step 4: Simplify right side
    6,484.92x = 47,544,714.83
  5. Step 5: Solve for x
    x = 47,544,714.83/6,484.92
  6. Step 6: Final answer
    x = 7,331.58

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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.