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Finding the Fourth Proportional to 16,075, 24,112.50 and 7,312.42

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Solution

The fourth proportional to 16,075, 24,112.50 and 7,312.42 is: 10,968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075 : 24,112.50 = 7,312.42 : x
  2. Step 2: Convert to fraction form
    16,075/24,112.50 = 7,312.42/x
  3. Step 3: Cross multiply
    16,075x = 24,112.50 × 7,312.42
  4. Step 4: Simplify right side
    16,075x = 176,320,727.25
  5. Step 5: Solve for x
    x = 176,320,727.25/16,075
  6. Step 6: Final answer
    x = 10,968.63

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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.