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Finding the Fourth Proportional to 4,714.00, 6,507.68 and 3,649.39

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Solution

The fourth proportional to 4,714.00, 6,507.68 and 3,649.39 is: 5,037.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.00 : 6,507.68 = 3,649.39 : x
  2. Step 2: Convert to fraction form
    4,714.00/6,507.68 = 3,649.39/x
  3. Step 3: Cross multiply
    4,714.00x = 6,507.68 × 3,649.39
  4. Step 4: Simplify right side
    4,714.00x = 23,749,027.80
  5. Step 5: Solve for x
    x = 23,749,027.80/4,714.00
  6. Step 6: Final answer
    x = 5,037.98

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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.