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Finding the Fourth Proportional to 7,560, 11,340 and 2,088

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Solution

The fourth proportional to 7,560, 11,340 and 2,088 is: 3,132

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,560 : 11,340 = 2,088 : x
  2. Step 2: Convert to fraction form
    7,560/11,340 = 2,088/x
  3. Step 3: Cross multiply
    7,560x = 11,340 × 2,088
  4. Step 4: Simplify right side
    7,560x = 23,677,920
  5. Step 5: Solve for x
    x = 23,677,920/7,560
  6. Step 6: Final answer
    x = 3,132

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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.