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Finding the Fourth Proportional to 11,870.98, 16,383.16 and 6,835.44

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Solution

The fourth proportional to 11,870.98, 16,383.16 and 6,835.44 is: 9,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.98 : 16,383.16 = 6,835.44 : x
  2. Step 2: Convert to fraction form
    11,870.98/16,383.16 = 6,835.44/x
  3. Step 3: Cross multiply
    11,870.98x = 16,383.16 × 6,835.44
  4. Step 4: Simplify right side
    11,870.98x = 111,986,107.19
  5. Step 5: Solve for x
    x = 111,986,107.19/11,870.98
  6. Step 6: Final answer
    x = 9,433.60

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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.