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Finding the Fourth Proportional to 14,362.67, 19,820.67 and 8,075

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Solution

The fourth proportional to 14,362.67, 19,820.67 and 8,075 is: 11,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362.67 : 19,820.67 = 8,075 : x
  2. Step 2: Convert to fraction form
    14,362.67/19,820.67 = 8,075/x
  3. Step 3: Cross multiply
    14,362.67x = 19,820.67 × 8,075
  4. Step 4: Simplify right side
    14,362.67x = 160,051,910.25
  5. Step 5: Solve for x
    x = 160,051,910.25/14,362.67
  6. Step 6: Final answer
    x = 11,143.60

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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.