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Finding the Fourth Proportional to 7,907.70, 11,865.24 and 3,524.70

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Solution

The fourth proportional to 7,907.70, 11,865.24 and 3,524.70 is: 5,288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.70 : 11,865.24 = 3,524.70 : x
  2. Step 2: Convert to fraction form
    7,907.70/11,865.24 = 3,524.70/x
  3. Step 3: Cross multiply
    7,907.70x = 11,865.24 × 3,524.70
  4. Step 4: Simplify right side
    7,907.70x = 41,821,411.43
  5. Step 5: Solve for x
    x = 41,821,411.43/7,907.70
  6. Step 6: Final answer
    x = 5,288.69

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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.