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Finding the Fourth Proportional to 11,794.55, 16,264.80 and 10,770.44

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Solution

The fourth proportional to 11,794.55, 16,264.80 and 10,770.44 is: 14,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.55 : 16,264.80 = 10,770.44 : x
  2. Step 2: Convert to fraction form
    11,794.55/16,264.80 = 10,770.44/x
  3. Step 3: Cross multiply
    11,794.55x = 16,264.80 × 10,770.44
  4. Step 4: Simplify right side
    11,794.55x = 175,178,971.19
  5. Step 5: Solve for x
    x = 175,178,971.19/11,794.55
  6. Step 6: Final answer
    x = 14,852.54

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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.