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Finding the Fourth Proportional to 11,003, 15,191 and 7,644.68

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Solution

The fourth proportional to 11,003, 15,191 and 7,644.68 is: 10,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,003 : 15,191 = 7,644.68 : x
  2. Step 2: Convert to fraction form
    11,003/15,191 = 7,644.68/x
  3. Step 3: Cross multiply
    11,003x = 15,191 × 7,644.68
  4. Step 4: Simplify right side
    11,003x = 116,130,333.88
  5. Step 5: Solve for x
    x = 116,130,333.88/11,003
  6. Step 6: Final answer
    x = 10,554.42

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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.