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Finding the Fourth Proportional to 19,256, 28,884 and 4,664

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Solution

The fourth proportional to 19,256, 28,884 and 4,664 is: 6,996

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,256 : 28,884 = 4,664 : x
  2. Step 2: Convert to fraction form
    19,256/28,884 = 4,664/x
  3. Step 3: Cross multiply
    19,256x = 28,884 × 4,664
  4. Step 4: Simplify right side
    19,256x = 134,714,976
  5. Step 5: Solve for x
    x = 134,714,976/19,256
  6. Step 6: Final answer
    x = 6,996

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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.