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Finding the Fourth Proportional to 12,075.52, 16,658.04 and 8,049.28

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Solution

The fourth proportional to 12,075.52, 16,658.04 and 8,049.28 is: 11,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.52 : 16,658.04 = 8,049.28 : x
  2. Step 2: Convert to fraction form
    12,075.52/16,658.04 = 8,049.28/x
  3. Step 3: Cross multiply
    12,075.52x = 16,658.04 × 8,049.28
  4. Step 4: Simplify right side
    12,075.52x = 134,085,228.21
  5. Step 5: Solve for x
    x = 134,085,228.21/12,075.52
  6. Step 6: Final answer
    x = 11,103.89

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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.