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Finding the Fourth Proportional to 8,272.08, 12,410.16 and 4,114.07

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Solution

The fourth proportional to 8,272.08, 12,410.16 and 4,114.07 is: 6,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.08 : 12,410.16 = 4,114.07 : x
  2. Step 2: Convert to fraction form
    8,272.08/12,410.16 = 4,114.07/x
  3. Step 3: Cross multiply
    8,272.08x = 12,410.16 × 4,114.07
  4. Step 4: Simplify right side
    8,272.08x = 51,056,204.90
  5. Step 5: Solve for x
    x = 51,056,204.90/8,272.08
  6. Step 6: Final answer
    x = 6,172.11

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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.