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Finding the Fourth Proportional to 7,469.82, 10,308.49 and 4,283.64

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Solution

The fourth proportional to 7,469.82, 10,308.49 and 4,283.64 is: 5,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.82 : 10,308.49 = 4,283.64 : x
  2. Step 2: Convert to fraction form
    7,469.82/10,308.49 = 4,283.64/x
  3. Step 3: Cross multiply
    7,469.82x = 10,308.49 × 4,283.64
  4. Step 4: Simplify right side
    7,469.82x = 44,157,860.10
  5. Step 5: Solve for x
    x = 44,157,860.10/7,469.82
  6. Step 6: Final answer
    x = 5,911.50

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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.