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Finding the Fourth Proportional to 6,349.82, 9,478.44 and 5,829.80

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Solution

The fourth proportional to 6,349.82, 9,478.44 and 5,829.80 is: 8,702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.82 : 9,478.44 = 5,829.80 : x
  2. Step 2: Convert to fraction form
    6,349.82/9,478.44 = 5,829.80/x
  3. Step 3: Cross multiply
    6,349.82x = 9,478.44 × 5,829.80
  4. Step 4: Simplify right side
    6,349.82x = 55,257,362.12
  5. Step 5: Solve for x
    x = 55,257,362.12/6,349.82
  6. Step 6: Final answer
    x = 8,702.20

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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.