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Finding the Fourth Proportional to 13,075.44, 18,051 and 11,057.94

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Solution

The fourth proportional to 13,075.44, 18,051 and 11,057.94 is: 15,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075.44 : 18,051 = 11,057.94 : x
  2. Step 2: Convert to fraction form
    13,075.44/18,051 = 11,057.94/x
  3. Step 3: Cross multiply
    13,075.44x = 18,051 × 11,057.94
  4. Step 4: Simplify right side
    13,075.44x = 199,606,874.94
  5. Step 5: Solve for x
    x = 199,606,874.94/13,075.44
  6. Step 6: Final answer
    x = 15,265.79

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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.