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Finding the Fourth Proportional to 5,926.64, 8,216.21 and 5,610.62

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Solution

The fourth proportional to 5,926.64, 8,216.21 and 5,610.62 is: 7,778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.64 : 8,216.21 = 5,610.62 : x
  2. Step 2: Convert to fraction form
    5,926.64/8,216.21 = 5,610.62/x
  3. Step 3: Cross multiply
    5,926.64x = 8,216.21 × 5,610.62
  4. Step 4: Simplify right side
    5,926.64x = 46,098,004.10
  5. Step 5: Solve for x
    x = 46,098,004.10/5,926.64
  6. Step 6: Final answer
    x = 7,778.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.