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Finding the Fourth Proportional to 8,075.45, 12,042.50 and 8,001.63

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Solution

The fourth proportional to 8,075.45, 12,042.50 and 8,001.63 is: 11,932.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.45 : 12,042.50 = 8,001.63 : x
  2. Step 2: Convert to fraction form
    8,075.45/12,042.50 = 8,001.63/x
  3. Step 3: Cross multiply
    8,075.45x = 12,042.50 × 8,001.63
  4. Step 4: Simplify right side
    8,075.45x = 96,359,589.27
  5. Step 5: Solve for x
    x = 96,359,589.27/8,075.45
  6. Step 6: Final answer
    x = 11,932.42

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.