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Finding the Fourth Proportional to 4,477.56, 6,714.62 and 1,702.78

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Solution

The fourth proportional to 4,477.56, 6,714.62 and 1,702.78 is: 2,553.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.56 : 6,714.62 = 1,702.78 : x
  2. Step 2: Convert to fraction form
    4,477.56/6,714.62 = 1,702.78/x
  3. Step 3: Cross multiply
    4,477.56x = 6,714.62 × 1,702.78
  4. Step 4: Simplify right side
    4,477.56x = 11,433,520.64
  5. Step 5: Solve for x
    x = 11,433,520.64/4,477.56
  6. Step 6: Final answer
    x = 2,553.52

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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.