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Finding the Fourth Proportional to 23,874.83, 35,802.98 and 8,075.64

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Solution

The fourth proportional to 23,874.83, 35,802.98 and 8,075.64 is: 12,110.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.83 : 35,802.98 = 8,075.64 : x
  2. Step 2: Convert to fraction form
    23,874.83/35,802.98 = 8,075.64/x
  3. Step 3: Cross multiply
    23,874.83x = 35,802.98 × 8,075.64
  4. Step 4: Simplify right side
    23,874.83x = 289,131,977.41
  5. Step 5: Solve for x
    x = 289,131,977.41/23,874.83
  6. Step 6: Final answer
    x = 12,110.33

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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.