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Finding the Fourth Proportional to 6,745.71, 9,304.42 and 4,476.63

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Solution

The fourth proportional to 6,745.71, 9,304.42 and 4,476.63 is: 6,174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.71 : 9,304.42 = 4,476.63 : x
  2. Step 2: Convert to fraction form
    6,745.71/9,304.42 = 4,476.63/x
  3. Step 3: Cross multiply
    6,745.71x = 9,304.42 × 4,476.63
  4. Step 4: Simplify right side
    6,745.71x = 41,652,445.70
  5. Step 5: Solve for x
    x = 41,652,445.70/6,745.71
  6. Step 6: Final answer
    x = 6,174.66

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Double scale
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1.5x scale

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.