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Finding the Fourth Proportional to 11,573.06, 15,971.11 and 7,099.28

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Solution

The fourth proportional to 11,573.06, 15,971.11 and 7,099.28 is: 9,797.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.06 : 15,971.11 = 7,099.28 : x
  2. Step 2: Convert to fraction form
    11,573.06/15,971.11 = 7,099.28/x
  3. Step 3: Cross multiply
    11,573.06x = 15,971.11 × 7,099.28
  4. Step 4: Simplify right side
    11,573.06x = 113,383,301.95
  5. Step 5: Solve for x
    x = 113,383,301.95/11,573.06
  6. Step 6: Final answer
    x = 9,797.18

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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.