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Finding the Fourth Proportional to 8,232, 12,348 and 2,076

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Solution

The fourth proportional to 8,232, 12,348 and 2,076 is: 3,114

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232 : 12,348 = 2,076 : x
  2. Step 2: Convert to fraction form
    8,232/12,348 = 2,076/x
  3. Step 3: Cross multiply
    8,232x = 12,348 × 2,076
  4. Step 4: Simplify right side
    8,232x = 25,634,448
  5. Step 5: Solve for x
    x = 25,634,448/8,232
  6. Step 6: Final answer
    x = 3,114

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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.