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Finding the Fourth Proportional to 6,480.49, 9,670.18 and 5,782.36

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Solution

The fourth proportional to 6,480.49, 9,670.18 and 5,782.36 is: 8,628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.49 : 9,670.18 = 5,782.36 : x
  2. Step 2: Convert to fraction form
    6,480.49/9,670.18 = 5,782.36/x
  3. Step 3: Cross multiply
    6,480.49x = 9,670.18 × 5,782.36
  4. Step 4: Simplify right side
    6,480.49x = 55,916,462.02
  5. Step 5: Solve for x
    x = 55,916,462.02/6,480.49
  6. Step 6: Final answer
    x = 8,628.43

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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.