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Finding the Fourth Proportional to 5,813.98, 8,709.60 and 4,646.44

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Solution

The fourth proportional to 5,813.98, 8,709.60 and 4,646.44 is: 6,960.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.98 : 8,709.60 = 4,646.44 : x
  2. Step 2: Convert to fraction form
    5,813.98/8,709.60 = 4,646.44/x
  3. Step 3: Cross multiply
    5,813.98x = 8,709.60 × 4,646.44
  4. Step 4: Simplify right side
    5,813.98x = 40,468,633.82
  5. Step 5: Solve for x
    x = 40,468,633.82/5,813.98
  6. Step 6: Final answer
    x = 6,960.57

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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.