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Finding the Fourth Proportional to 11,885.69, 16,404 and 6,848.95

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Solution

The fourth proportional to 11,885.69, 16,404 and 6,848.95 is: 9,452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.69 : 16,404 = 6,848.95 : x
  2. Step 2: Convert to fraction form
    11,885.69/16,404 = 6,848.95/x
  3. Step 3: Cross multiply
    11,885.69x = 16,404 × 6,848.95
  4. Step 4: Simplify right side
    11,885.69x = 112,350,175.80
  5. Step 5: Solve for x
    x = 112,350,175.80/11,885.69
  6. Step 6: Final answer
    x = 9,452.56

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1.5x scale

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.