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Finding the Fourth Proportional to 9,600, 13,248 and 5,184

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Solution

The fourth proportional to 9,600, 13,248 and 5,184 is: 7,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600 : 13,248 = 5,184 : x
  2. Step 2: Convert to fraction form
    9,600/13,248 = 5,184/x
  3. Step 3: Cross multiply
    9,600x = 13,248 × 5,184
  4. Step 4: Simplify right side
    9,600x = 68,677,632
  5. Step 5: Solve for x
    x = 68,677,632/9,600
  6. Step 6: Final answer
    x = 7,153.92

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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.