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Finding the Fourth Proportional to 10,770.49, 16,050.02 and 10,418.14

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Solution

The fourth proportional to 10,770.49, 16,050.02 and 10,418.14 is: 15,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.49 : 16,050.02 = 10,418.14 : x
  2. Step 2: Convert to fraction form
    10,770.49/16,050.02 = 10,418.14/x
  3. Step 3: Cross multiply
    10,770.49x = 16,050.02 × 10,418.14
  4. Step 4: Simplify right side
    10,770.49x = 167,211,355.36
  5. Step 5: Solve for x
    x = 167,211,355.36/10,770.49
  6. Step 6: Final answer
    x = 15,524.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.