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Finding the Fourth Proportional to 8,196.03, 11,311.48 and 4,659.77

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Solution

The fourth proportional to 8,196.03, 11,311.48 and 4,659.77 is: 6,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.03 : 11,311.48 = 4,659.77 : x
  2. Step 2: Convert to fraction form
    8,196.03/11,311.48 = 4,659.77/x
  3. Step 3: Cross multiply
    8,196.03x = 11,311.48 × 4,659.77
  4. Step 4: Simplify right side
    8,196.03x = 52,708,929.26
  5. Step 5: Solve for x
    x = 52,708,929.26/8,196.03
  6. Step 6: Final answer
    x = 6,431.03

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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.