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Finding the Fourth Proportional to 6,782.48, 9,361.32 and 4,130

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Solution

The fourth proportional to 6,782.48, 9,361.32 and 4,130 is: 5,700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.48 : 9,361.32 = 4,130 : x
  2. Step 2: Convert to fraction form
    6,782.48/9,361.32 = 4,130/x
  3. Step 3: Cross multiply
    6,782.48x = 9,361.32 × 4,130
  4. Step 4: Simplify right side
    6,782.48x = 38,662,251.60
  5. Step 5: Solve for x
    x = 38,662,251.60/6,782.48
  6. Step 6: Final answer
    x = 5,700.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.