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Finding the Fourth Proportional to 4,714.60, 7,071.46 and 2,373.68

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Solution

The fourth proportional to 4,714.60, 7,071.46 and 2,373.68 is: 3,560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.60 : 7,071.46 = 2,373.68 : x
  2. Step 2: Convert to fraction form
    4,714.60/7,071.46 = 2,373.68/x
  3. Step 3: Cross multiply
    4,714.60x = 7,071.46 × 2,373.68
  4. Step 4: Simplify right side
    4,714.60x = 16,785,383.17
  5. Step 5: Solve for x
    x = 16,785,383.17/4,714.60
  6. Step 6: Final answer
    x = 3,560.30

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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.