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Finding the Fourth Proportional to 11,892.06, 16,409.07 and 7,644.06

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Solution

The fourth proportional to 11,892.06, 16,409.07 and 7,644.06 is: 10,547.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.06 : 16,409.07 = 7,644.06 : x
  2. Step 2: Convert to fraction form
    11,892.06/16,409.07 = 7,644.06/x
  3. Step 3: Cross multiply
    11,892.06x = 16,409.07 × 7,644.06
  4. Step 4: Simplify right side
    11,892.06x = 125,431,915.62
  5. Step 5: Solve for x
    x = 125,431,915.62/11,892.06
  6. Step 6: Final answer
    x = 10,547.53

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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.