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Finding the Fourth Proportional to 6,500.88, 9,736.56 and 4,641.84

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Solution

The fourth proportional to 6,500.88, 9,736.56 and 4,641.84 is: 6,952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.88 : 9,736.56 = 4,641.84 : x
  2. Step 2: Convert to fraction form
    6,500.88/9,736.56 = 4,641.84/x
  3. Step 3: Cross multiply
    6,500.88x = 9,736.56 × 4,641.84
  4. Step 4: Simplify right side
    6,500.88x = 45,195,553.67
  5. Step 5: Solve for x
    x = 45,195,553.67/6,500.88
  6. Step 6: Final answer
    x = 6,952.22

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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.