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Finding the Fourth Proportional to 10,227, 15,340.50 and 4,075.32

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Solution

The fourth proportional to 10,227, 15,340.50 and 4,075.32 is: 6,112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227 : 15,340.50 = 4,075.32 : x
  2. Step 2: Convert to fraction form
    10,227/15,340.50 = 4,075.32/x
  3. Step 3: Cross multiply
    10,227x = 15,340.50 × 4,075.32
  4. Step 4: Simplify right side
    10,227x = 62,517,446.46
  5. Step 5: Solve for x
    x = 62,517,446.46/10,227
  6. Step 6: Final answer
    x = 6,112.98

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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.