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Finding the Fourth Proportional to 7,469.68, 10,308 and 4,112.32

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Solution

The fourth proportional to 7,469.68, 10,308 and 4,112.32 is: 5,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.68 : 10,308 = 4,112.32 : x
  2. Step 2: Convert to fraction form
    7,469.68/10,308 = 4,112.32/x
  3. Step 3: Cross multiply
    7,469.68x = 10,308 × 4,112.32
  4. Step 4: Simplify right side
    7,469.68x = 42,389,794.56
  5. Step 5: Solve for x
    x = 42,389,794.56/7,469.68
  6. Step 6: Final answer
    x = 5,674.91

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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.