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Finding the Fourth Proportional to 6,586.32, 9,879.84 and 1,656.48

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Solution

The fourth proportional to 6,586.32, 9,879.84 and 1,656.48 is: 2,484.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.32 : 9,879.84 = 1,656.48 : x
  2. Step 2: Convert to fraction form
    6,586.32/9,879.84 = 1,656.48/x
  3. Step 3: Cross multiply
    6,586.32x = 9,879.84 × 1,656.48
  4. Step 4: Simplify right side
    6,586.32x = 16,365,757.36
  5. Step 5: Solve for x
    x = 16,365,757.36/6,586.32
  6. Step 6: Final answer
    x = 2,484.81

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1.5x scale

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.