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Finding the Fourth Proportional to 11,980.74, 16,533.44 and 6,675.74

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Solution

The fourth proportional to 11,980.74, 16,533.44 and 6,675.74 is: 9,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.74 : 16,533.44 = 6,675.74 : x
  2. Step 2: Convert to fraction form
    11,980.74/16,533.44 = 6,675.74/x
  3. Step 3: Cross multiply
    11,980.74x = 16,533.44 × 6,675.74
  4. Step 4: Simplify right side
    11,980.74x = 110,372,946.75
  5. Step 5: Solve for x
    x = 110,372,946.75/11,980.74
  6. Step 6: Final answer
    x = 9,212.53

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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.