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Finding the Fourth Proportional to 12,393, 17,102.46 and 6,804.12

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Solution

The fourth proportional to 12,393, 17,102.46 and 6,804.12 is: 9,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,393 : 17,102.46 = 6,804.12 : x
  2. Step 2: Convert to fraction form
    12,393/17,102.46 = 6,804.12/x
  3. Step 3: Cross multiply
    12,393x = 17,102.46 × 6,804.12
  4. Step 4: Simplify right side
    12,393x = 116,367,190.14
  5. Step 5: Solve for x
    x = 116,367,190.14/12,393
  6. Step 6: Final answer
    x = 9,389.75

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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.