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Finding the Fourth Proportional to 16,075, 24,112.34 and 4,388.22

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Solution

The fourth proportional to 16,075, 24,112.34 and 4,388.22 is: 6,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075 : 24,112.34 = 4,388.22 : x
  2. Step 2: Convert to fraction form
    16,075/24,112.34 = 4,388.22/x
  3. Step 3: Cross multiply
    16,075x = 24,112.34 × 4,388.22
  4. Step 4: Simplify right side
    16,075x = 105,810,252.63
  5. Step 5: Solve for x
    x = 105,810,252.63/16,075
  6. Step 6: Final answer
    x = 6,582.29

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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.