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Finding the Fourth Proportional to 6,273, 9,409.50 and 2,169

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Solution

The fourth proportional to 6,273, 9,409.50 and 2,169 is: 3,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273 : 9,409.50 = 2,169 : x
  2. Step 2: Convert to fraction form
    6,273/9,409.50 = 2,169/x
  3. Step 3: Cross multiply
    6,273x = 9,409.50 × 2,169
  4. Step 4: Simplify right side
    6,273x = 20,409,205.50
  5. Step 5: Solve for x
    x = 20,409,205.50/6,273
  6. Step 6: Final answer
    x = 3,253.50

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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.