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Finding the Fourth Proportional to 7,770.94, 11,633.95 and 6,969.70

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Solution

The fourth proportional to 7,770.94, 11,633.95 and 6,969.70 is: 10,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.94 : 11,633.95 = 6,969.70 : x
  2. Step 2: Convert to fraction form
    7,770.94/11,633.95 = 6,969.70/x
  3. Step 3: Cross multiply
    7,770.94x = 11,633.95 × 6,969.70
  4. Step 4: Simplify right side
    7,770.94x = 81,085,141.32
  5. Step 5: Solve for x
    x = 81,085,141.32/7,770.94
  6. Step 6: Final answer
    x = 10,434.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.