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Finding the Fourth Proportional to 13,466.96, 20,194.80 and 7,931.44

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Solution

The fourth proportional to 13,466.96, 20,194.80 and 7,931.44 is: 11,893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.96 : 20,194.80 = 7,931.44 : x
  2. Step 2: Convert to fraction form
    13,466.96/20,194.80 = 7,931.44/x
  3. Step 3: Cross multiply
    13,466.96x = 20,194.80 × 7,931.44
  4. Step 4: Simplify right side
    13,466.96x = 160,173,844.51
  5. Step 5: Solve for x
    x = 160,173,844.51/13,466.96
  6. Step 6: Final answer
    x = 11,893.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.