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Finding the Fourth Proportional to 8,196.68, 11,309.95 and 4,659.68

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Solution

The fourth proportional to 8,196.68, 11,309.95 and 4,659.68 is: 6,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.68 : 11,309.95 = 4,659.68 : x
  2. Step 2: Convert to fraction form
    8,196.68/11,309.95 = 4,659.68/x
  3. Step 3: Cross multiply
    8,196.68x = 11,309.95 × 4,659.68
  4. Step 4: Simplify right side
    8,196.68x = 52,700,747.82
  5. Step 5: Solve for x
    x = 52,700,747.82/8,196.68
  6. Step 6: Final answer
    x = 6,429.52

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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.