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Finding the Fourth Proportional to 14,994, 22,491 and 4,605.75

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Solution

The fourth proportional to 14,994, 22,491 and 4,605.75 is: 6,908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,994 : 22,491 = 4,605.75 : x
  2. Step 2: Convert to fraction form
    14,994/22,491 = 4,605.75/x
  3. Step 3: Cross multiply
    14,994x = 22,491 × 4,605.75
  4. Step 4: Simplify right side
    14,994x = 103,587,923.25
  5. Step 5: Solve for x
    x = 103,587,923.25/14,994
  6. Step 6: Final answer
    x = 6,908.63

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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.