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Finding the Fourth Proportional to 4,866.12, 6,714.90 and 3,820.68

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Solution

The fourth proportional to 4,866.12, 6,714.90 and 3,820.68 is: 5,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.12 : 6,714.90 = 3,820.68 : x
  2. Step 2: Convert to fraction form
    4,866.12/6,714.90 = 3,820.68/x
  3. Step 3: Cross multiply
    4,866.12x = 6,714.90 × 3,820.68
  4. Step 4: Simplify right side
    4,866.12x = 25,655,484.13
  5. Step 5: Solve for x
    x = 25,655,484.13/4,866.12
  6. Step 6: Final answer
    x = 5,272.27

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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.