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Finding the Fourth Proportional to 6,524.88, 9,725.43 and 6,473.85

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Solution

The fourth proportional to 6,524.88, 9,725.43 and 6,473.85 is: 9,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.88 : 9,725.43 = 6,473.85 : x
  2. Step 2: Convert to fraction form
    6,524.88/9,725.43 = 6,473.85/x
  3. Step 3: Cross multiply
    6,524.88x = 9,725.43 × 6,473.85
  4. Step 4: Simplify right side
    6,524.88x = 62,960,975.01
  5. Step 5: Solve for x
    x = 62,960,975.01/6,524.88
  6. Step 6: Final answer
    x = 9,649.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.