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Finding the Fourth Proportional to 11,774.88, 16,228.08 and 11,437.92

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Solution

The fourth proportional to 11,774.88, 16,228.08 and 11,437.92 is: 15,763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.88 : 16,228.08 = 11,437.92 : x
  2. Step 2: Convert to fraction form
    11,774.88/16,228.08 = 11,437.92/x
  3. Step 3: Cross multiply
    11,774.88x = 16,228.08 × 11,437.92
  4. Step 4: Simplify right side
    11,774.88x = 185,615,480.79
  5. Step 5: Solve for x
    x = 185,615,480.79/11,774.88
  6. Step 6: Final answer
    x = 15,763.68

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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.