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Finding the Fourth Proportional to 9,550, 14,325.81 and 2,624.50

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Solution

The fourth proportional to 9,550, 14,325.81 and 2,624.50 is: 3,936.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550 : 14,325.81 = 2,624.50 : x
  2. Step 2: Convert to fraction form
    9,550/14,325.81 = 2,624.50/x
  3. Step 3: Cross multiply
    9,550x = 14,325.81 × 2,624.50
  4. Step 4: Simplify right side
    9,550x = 37,598,088.35
  5. Step 5: Solve for x
    x = 37,598,088.35/9,550
  6. Step 6: Final answer
    x = 3,936.97

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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.