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Finding the Fourth Proportional to 23,874.57, 35,802.63 and 8,075.40

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Solution

The fourth proportional to 23,874.57, 35,802.63 and 8,075.40 is: 12,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.57 : 35,802.63 = 8,075.40 : x
  2. Step 2: Convert to fraction form
    23,874.57/35,802.63 = 8,075.40/x
  3. Step 3: Cross multiply
    23,874.57x = 35,802.63 × 8,075.40
  4. Step 4: Simplify right side
    23,874.57x = 289,120,558.30
  5. Step 5: Solve for x
    x = 289,120,558.30/23,874.57
  6. Step 6: Final answer
    x = 12,109.98

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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.