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Finding the Fourth Proportional to 11,792.93, 16,273.26 and 6,946.89

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Solution

The fourth proportional to 11,792.93, 16,273.26 and 6,946.89 is: 9,586.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.93 : 16,273.26 = 6,946.89 : x
  2. Step 2: Convert to fraction form
    11,792.93/16,273.26 = 6,946.89/x
  3. Step 3: Cross multiply
    11,792.93x = 16,273.26 × 6,946.89
  4. Step 4: Simplify right side
    11,792.93x = 113,048,564.53
  5. Step 5: Solve for x
    x = 113,048,564.53/11,792.93
  6. Step 6: Final answer
    x = 9,586.13

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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.