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Finding the Fourth Proportional to 4,714.60, 6,489.81 and 4,076.24

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Solution

The fourth proportional to 4,714.60, 6,489.81 and 4,076.24 is: 5,611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.60 : 6,489.81 = 4,076.24 : x
  2. Step 2: Convert to fraction form
    4,714.60/6,489.81 = 4,076.24/x
  3. Step 3: Cross multiply
    4,714.60x = 6,489.81 × 4,076.24
  4. Step 4: Simplify right side
    4,714.60x = 26,454,023.11
  5. Step 5: Solve for x
    x = 26,454,023.11/4,714.60
  6. Step 6: Final answer
    x = 5,611.09

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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.