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Finding the Fourth Proportional to 6,476.43, 9,712.22 and 3,011.25

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Solution

The fourth proportional to 6,476.43, 9,712.22 and 3,011.25 is: 4,515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.43 : 9,712.22 = 3,011.25 : x
  2. Step 2: Convert to fraction form
    6,476.43/9,712.22 = 3,011.25/x
  3. Step 3: Cross multiply
    6,476.43x = 9,712.22 × 3,011.25
  4. Step 4: Simplify right side
    6,476.43x = 29,245,907.42
  5. Step 5: Solve for x
    x = 29,245,907.42/6,476.43
  6. Step 6: Final answer
    x = 4,515.75

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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.