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Finding the Fourth Proportional to 9,900, 13,662 and 5,484

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Solution

The fourth proportional to 9,900, 13,662 and 5,484 is: 7,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900 : 13,662 = 5,484 : x
  2. Step 2: Convert to fraction form
    9,900/13,662 = 5,484/x
  3. Step 3: Cross multiply
    9,900x = 13,662 × 5,484
  4. Step 4: Simplify right side
    9,900x = 74,922,408
  5. Step 5: Solve for x
    x = 74,922,408/9,900
  6. Step 6: Final answer
    x = 7,567.92

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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.