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Finding the Fourth Proportional to 11,751.87, 17,632.23 and 7,075.17

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Solution

The fourth proportional to 11,751.87, 17,632.23 and 7,075.17 is: 10,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.87 : 17,632.23 = 7,075.17 : x
  2. Step 2: Convert to fraction form
    11,751.87/17,632.23 = 7,075.17/x
  3. Step 3: Cross multiply
    11,751.87x = 17,632.23 × 7,075.17
  4. Step 4: Simplify right side
    11,751.87x = 124,751,024.73
  5. Step 5: Solve for x
    x = 124,751,024.73/11,751.87
  6. Step 6: Final answer
    x = 10,615.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.