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Finding the Fourth Proportional to 9,732, 14,598 and 3,576

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Solution

The fourth proportional to 9,732, 14,598 and 3,576 is: 5,364

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732 : 14,598 = 3,576 : x
  2. Step 2: Convert to fraction form
    9,732/14,598 = 3,576/x
  3. Step 3: Cross multiply
    9,732x = 14,598 × 3,576
  4. Step 4: Simplify right side
    9,732x = 52,202,448
  5. Step 5: Solve for x
    x = 52,202,448/9,732
  6. Step 6: Final answer
    x = 5,364

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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.