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Finding the Fourth Proportional to 11,447.98, 15,797.15 and 6,479.98

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Solution

The fourth proportional to 11,447.98, 15,797.15 and 6,479.98 is: 8,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.98 : 15,797.15 = 6,479.98 : x
  2. Step 2: Convert to fraction form
    11,447.98/15,797.15 = 6,479.98/x
  3. Step 3: Cross multiply
    11,447.98x = 15,797.15 × 6,479.98
  4. Step 4: Simplify right side
    11,447.98x = 102,365,216.06
  5. Step 5: Solve for x
    x = 102,365,216.06/11,447.98
  6. Step 6: Final answer
    x = 8,941.77

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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.