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Finding the Fourth Proportional to 15,661, 23,491.50 and 4,717

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Solution

The fourth proportional to 15,661, 23,491.50 and 4,717 is: 7,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,661 : 23,491.50 = 4,717 : x
  2. Step 2: Convert to fraction form
    15,661/23,491.50 = 4,717/x
  3. Step 3: Cross multiply
    15,661x = 23,491.50 × 4,717
  4. Step 4: Simplify right side
    15,661x = 110,809,405.50
  5. Step 5: Solve for x
    x = 110,809,405.50/15,661
  6. Step 6: Final answer
    x = 7,075.50

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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.