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Finding the Fourth Proportional to 7,488, 11,232 and 2,016

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Solution

The fourth proportional to 7,488, 11,232 and 2,016 is: 3,024

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,488 : 11,232 = 2,016 : x
  2. Step 2: Convert to fraction form
    7,488/11,232 = 2,016/x
  3. Step 3: Cross multiply
    7,488x = 11,232 × 2,016
  4. Step 4: Simplify right side
    7,488x = 22,643,712
  5. Step 5: Solve for x
    x = 22,643,712/7,488
  6. Step 6: Final answer
    x = 3,024

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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.