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Finding the Fourth Proportional to 4,466.68, 6,702.24 and 2,003.24

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Solution

The fourth proportional to 4,466.68, 6,702.24 and 2,003.24 is: 3,005.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.68 : 6,702.24 = 2,003.24 : x
  2. Step 2: Convert to fraction form
    4,466.68/6,702.24 = 2,003.24/x
  3. Step 3: Cross multiply
    4,466.68x = 6,702.24 × 2,003.24
  4. Step 4: Simplify right side
    4,466.68x = 13,426,195.26
  5. Step 5: Solve for x
    x = 13,426,195.26/4,466.68
  6. Step 6: Final answer
    x = 3,005.86

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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.