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Finding the Fourth Proportional to 9,507, 14,260.50 and 2,581.50

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Solution

The fourth proportional to 9,507, 14,260.50 and 2,581.50 is: 3,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507 : 14,260.50 = 2,581.50 : x
  2. Step 2: Convert to fraction form
    9,507/14,260.50 = 2,581.50/x
  3. Step 3: Cross multiply
    9,507x = 14,260.50 × 2,581.50
  4. Step 4: Simplify right side
    9,507x = 36,813,480.75
  5. Step 5: Solve for x
    x = 36,813,480.75/9,507
  6. Step 6: Final answer
    x = 3,872.25

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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.