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Finding the Fourth Proportional to 7,256, 10,884 and 1,784

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Solution

The fourth proportional to 7,256, 10,884 and 1,784 is: 2,676

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256 : 10,884 = 1,784 : x
  2. Step 2: Convert to fraction form
    7,256/10,884 = 1,784/x
  3. Step 3: Cross multiply
    7,256x = 10,884 × 1,784
  4. Step 4: Simplify right side
    7,256x = 19,417,056
  5. Step 5: Solve for x
    x = 19,417,056/7,256
  6. Step 6: Final answer
    x = 2,676

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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.