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Finding the Fourth Proportional to 9,252, 12,771 and 5,526

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Solution

The fourth proportional to 9,252, 12,771 and 5,526 is: 7,627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252 : 12,771 = 5,526 : x
  2. Step 2: Convert to fraction form
    9,252/12,771 = 5,526/x
  3. Step 3: Cross multiply
    9,252x = 12,771 × 5,526
  4. Step 4: Simplify right side
    9,252x = 70,572,546
  5. Step 5: Solve for x
    x = 70,572,546/9,252
  6. Step 6: Final answer
    x = 7,627.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.