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Finding the Fourth Proportional to 15,664, 23,496 and 4,720

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Solution

The fourth proportional to 15,664, 23,496 and 4,720 is: 7,080

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,664 : 23,496 = 4,720 : x
  2. Step 2: Convert to fraction form
    15,664/23,496 = 4,720/x
  3. Step 3: Cross multiply
    15,664x = 23,496 × 4,720
  4. Step 4: Simplify right side
    15,664x = 110,901,120
  5. Step 5: Solve for x
    x = 110,901,120/15,664
  6. Step 6: Final answer
    x = 7,080

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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.