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Finding the Fourth Proportional to 12,047.41, 16,625.46 and 6,741.82

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Solution

The fourth proportional to 12,047.41, 16,625.46 and 6,741.82 is: 9,303.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,047.41 : 16,625.46 = 6,741.82 : x
  2. Step 2: Convert to fraction form
    12,047.41/16,625.46 = 6,741.82/x
  3. Step 3: Cross multiply
    12,047.41x = 16,625.46 × 6,741.82
  4. Step 4: Simplify right side
    12,047.41x = 112,085,858.74
  5. Step 5: Solve for x
    x = 112,085,858.74/12,047.41
  6. Step 6: Final answer
    x = 9,303.73

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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.