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Finding the Fourth Proportional to 11,974.22, 16,527.11 and 7,775.18

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Solution

The fourth proportional to 11,974.22, 16,527.11 and 7,775.18 is: 10,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.22 : 16,527.11 = 7,775.18 : x
  2. Step 2: Convert to fraction form
    11,974.22/16,527.11 = 7,775.18/x
  3. Step 3: Cross multiply
    11,974.22x = 16,527.11 × 7,775.18
  4. Step 4: Simplify right side
    11,974.22x = 128,501,255.13
  5. Step 5: Solve for x
    x = 128,501,255.13/11,974.22
  6. Step 6: Final answer
    x = 10,731.49

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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.