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Finding the Fourth Proportional to 4,256, 6,384 and 1,178

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Solution

The fourth proportional to 4,256, 6,384 and 1,178 is: 1,767

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256 : 6,384 = 1,178 : x
  2. Step 2: Convert to fraction form
    4,256/6,384 = 1,178/x
  3. Step 3: Cross multiply
    4,256x = 6,384 × 1,178
  4. Step 4: Simplify right side
    4,256x = 7,520,352
  5. Step 5: Solve for x
    x = 7,520,352/4,256
  6. Step 6: Final answer
    x = 1,767

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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.