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Finding the Fourth Proportional to 12,768, 19,152 and 3,534

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Solution

The fourth proportional to 12,768, 19,152 and 3,534 is: 5,301

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768 : 19,152 = 3,534 : x
  2. Step 2: Convert to fraction form
    12,768/19,152 = 3,534/x
  3. Step 3: Cross multiply
    12,768x = 19,152 × 3,534
  4. Step 4: Simplify right side
    12,768x = 67,683,168
  5. Step 5: Solve for x
    x = 67,683,168/12,768
  6. Step 6: Final answer
    x = 5,301

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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.