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Finding the Fourth Proportional to 6,840.50, 9,442.32 and 4,046

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Solution

The fourth proportional to 6,840.50, 9,442.32 and 4,046 is: 5,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.50 : 9,442.32 = 4,046 : x
  2. Step 2: Convert to fraction form
    6,840.50/9,442.32 = 4,046/x
  3. Step 3: Cross multiply
    6,840.50x = 9,442.32 × 4,046
  4. Step 4: Simplify right side
    6,840.50x = 38,203,626.72
  5. Step 5: Solve for x
    x = 38,203,626.72/6,840.50
  6. Step 6: Final answer
    x = 5,584.92

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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.