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Finding the Fourth Proportional to 9,783, 14,674.50 and 3,627

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Solution

The fourth proportional to 9,783, 14,674.50 and 3,627 is: 5,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783 : 14,674.50 = 3,627 : x
  2. Step 2: Convert to fraction form
    9,783/14,674.50 = 3,627/x
  3. Step 3: Cross multiply
    9,783x = 14,674.50 × 3,627
  4. Step 4: Simplify right side
    9,783x = 53,224,411.50
  5. Step 5: Solve for x
    x = 53,224,411.50/9,783
  6. Step 6: Final answer
    x = 5,440.50

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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.