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Finding the Fourth Proportional to 11,811.84, 16,302.84 and 6,776.88

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Solution

The fourth proportional to 11,811.84, 16,302.84 and 6,776.88 is: 9,353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.84 : 16,302.84 = 6,776.88 : x
  2. Step 2: Convert to fraction form
    11,811.84/16,302.84 = 6,776.88/x
  3. Step 3: Cross multiply
    11,811.84x = 16,302.84 × 6,776.88
  4. Step 4: Simplify right side
    11,811.84x = 110,482,390.34
  5. Step 5: Solve for x
    x = 110,482,390.34/11,811.84
  6. Step 6: Final answer
    x = 9,353.53

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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.