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Finding the Fourth Proportional to 7,855.89, 10,829.96 and 6,248.44

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Solution

The fourth proportional to 7,855.89, 10,829.96 and 6,248.44 is: 8,613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.89 : 10,829.96 = 6,248.44 : x
  2. Step 2: Convert to fraction form
    7,855.89/10,829.96 = 6,248.44/x
  3. Step 3: Cross multiply
    7,855.89x = 10,829.96 × 6,248.44
  4. Step 4: Simplify right side
    7,855.89x = 67,670,360.99
  5. Step 5: Solve for x
    x = 67,670,360.99/7,855.89
  6. Step 6: Final answer
    x = 8,613.97

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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.