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Finding the Fourth Proportional to 9,924, 14,886 and 4,452

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Solution

The fourth proportional to 9,924, 14,886 and 4,452 is: 6,678

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924 : 14,886 = 4,452 : x
  2. Step 2: Convert to fraction form
    9,924/14,886 = 4,452/x
  3. Step 3: Cross multiply
    9,924x = 14,886 × 4,452
  4. Step 4: Simplify right side
    9,924x = 66,272,472
  5. Step 5: Solve for x
    x = 66,272,472/9,924
  6. Step 6: Final answer
    x = 6,678

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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.