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Finding the Fourth Proportional to 15,736, 23,604 and 4,792

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Solution

The fourth proportional to 15,736, 23,604 and 4,792 is: 7,188

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,736 : 23,604 = 4,792 : x
  2. Step 2: Convert to fraction form
    15,736/23,604 = 4,792/x
  3. Step 3: Cross multiply
    15,736x = 23,604 × 4,792
  4. Step 4: Simplify right side
    15,736x = 113,110,368
  5. Step 5: Solve for x
    x = 113,110,368/15,736
  6. Step 6: Final answer
    x = 7,188

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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.