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Finding the Fourth Proportional to 9,522, 14,283 and 4,050

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Solution

The fourth proportional to 9,522, 14,283 and 4,050 is: 6,075

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522 : 14,283 = 4,050 : x
  2. Step 2: Convert to fraction form
    9,522/14,283 = 4,050/x
  3. Step 3: Cross multiply
    9,522x = 14,283 × 4,050
  4. Step 4: Simplify right side
    9,522x = 57,846,150
  5. Step 5: Solve for x
    x = 57,846,150/9,522
  6. Step 6: Final answer
    x = 6,075

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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.