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Finding the Fourth Proportional to 9,975, 14,962.50 and 3,049.50

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Solution

The fourth proportional to 9,975, 14,962.50 and 3,049.50 is: 4,574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975 : 14,962.50 = 3,049.50 : x
  2. Step 2: Convert to fraction form
    9,975/14,962.50 = 3,049.50/x
  3. Step 3: Cross multiply
    9,975x = 14,962.50 × 3,049.50
  4. Step 4: Simplify right side
    9,975x = 45,628,143.75
  5. Step 5: Solve for x
    x = 45,628,143.75/9,975
  6. Step 6: Final answer
    x = 4,574.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.