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Finding the Fourth Proportional to 9,141.98, 13,702.60 and 4,201.41

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Solution

The fourth proportional to 9,141.98, 13,702.60 and 4,201.41 is: 6,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.98 : 13,702.60 = 4,201.41 : x
  2. Step 2: Convert to fraction form
    9,141.98/13,702.60 = 4,201.41/x
  3. Step 3: Cross multiply
    9,141.98x = 13,702.60 × 4,201.41
  4. Step 4: Simplify right side
    9,141.98x = 57,570,240.67
  5. Step 5: Solve for x
    x = 57,570,240.67/9,141.98
  6. Step 6: Final answer
    x = 6,297.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.