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Finding the Fourth Proportional to 8,308.72, 11,465.97 and 4,531.90

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Solution

The fourth proportional to 8,308.72, 11,465.97 and 4,531.90 is: 6,253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.72 : 11,465.97 = 4,531.90 : x
  2. Step 2: Convert to fraction form
    8,308.72/11,465.97 = 4,531.90/x
  3. Step 3: Cross multiply
    8,308.72x = 11,465.97 × 4,531.90
  4. Step 4: Simplify right side
    8,308.72x = 51,962,629.44
  5. Step 5: Solve for x
    x = 51,962,629.44/8,308.72
  6. Step 6: Final answer
    x = 6,253.99

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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.