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Finding the Fourth Proportional to 6,959.46, 9,604.05 and 3,815.70

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Solution

The fourth proportional to 6,959.46, 9,604.05 and 3,815.70 is: 5,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.46 : 9,604.05 = 3,815.70 : x
  2. Step 2: Convert to fraction form
    6,959.46/9,604.05 = 3,815.70/x
  3. Step 3: Cross multiply
    6,959.46x = 9,604.05 × 3,815.70
  4. Step 4: Simplify right side
    6,959.46x = 36,646,173.59
  5. Step 5: Solve for x
    x = 36,646,173.59/6,959.46
  6. Step 6: Final answer
    x = 5,265.66

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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.