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Finding the Fourth Proportional to 7,144.26, 9,877.89 and 6,257.52

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Solution

The fourth proportional to 7,144.26, 9,877.89 and 6,257.52 is: 8,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.26 : 9,877.89 = 6,257.52 : x
  2. Step 2: Convert to fraction form
    7,144.26/9,877.89 = 6,257.52/x
  3. Step 3: Cross multiply
    7,144.26x = 9,877.89 × 6,257.52
  4. Step 4: Simplify right side
    7,144.26x = 61,811,057.19
  5. Step 5: Solve for x
    x = 61,811,057.19/7,144.26
  6. Step 6: Final answer
    x = 8,651.84

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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.