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Finding the Fourth Proportional to 5,796.90, 8,635.68 and 5,511.78

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Solution

The fourth proportional to 5,796.90, 8,635.68 and 5,511.78 is: 8,210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.90 : 8,635.68 = 5,511.78 : x
  2. Step 2: Convert to fraction form
    5,796.90/8,635.68 = 5,511.78/x
  3. Step 3: Cross multiply
    5,796.90x = 8,635.68 × 5,511.78
  4. Step 4: Simplify right side
    5,796.90x = 47,597,968.31
  5. Step 5: Solve for x
    x = 47,597,968.31/5,796.90
  6. Step 6: Final answer
    x = 8,210.93

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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.