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Finding the Fourth Proportional to 16,844.97, 25,256.16 and 8,075.10

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Solution

The fourth proportional to 16,844.97, 25,256.16 and 8,075.10 is: 12,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,844.97 : 25,256.16 = 8,075.10 : x
  2. Step 2: Convert to fraction form
    16,844.97/25,256.16 = 8,075.10/x
  3. Step 3: Cross multiply
    16,844.97x = 25,256.16 × 8,075.10
  4. Step 4: Simplify right side
    16,844.97x = 203,946,017.62
  5. Step 5: Solve for x
    x = 203,946,017.62/16,844.97
  6. Step 6: Final answer
    x = 12,107.24

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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.