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Finding the Fourth Proportional to 12,999.07, 17,946.93 and 9,230.14

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Solution

The fourth proportional to 12,999.07, 17,946.93 and 9,230.14 is: 12,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,999.07 : 17,946.93 = 9,230.14 : x
  2. Step 2: Convert to fraction form
    12,999.07/17,946.93 = 9,230.14/x
  3. Step 3: Cross multiply
    12,999.07x = 17,946.93 × 9,230.14
  4. Step 4: Simplify right side
    12,999.07x = 165,652,676.47
  5. Step 5: Solve for x
    x = 165,652,676.47/12,999.07
  6. Step 6: Final answer
    x = 12,743.43

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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.