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Finding the Fourth Proportional to 4,866.64, 6,714.76 and 2,741.76

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Solution

The fourth proportional to 4,866.64, 6,714.76 and 2,741.76 is: 3,782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.64 : 6,714.76 = 2,741.76 : x
  2. Step 2: Convert to fraction form
    4,866.64/6,714.76 = 2,741.76/x
  3. Step 3: Cross multiply
    4,866.64x = 6,714.76 × 2,741.76
  4. Step 4: Simplify right side
    4,866.64x = 18,410,260.38
  5. Step 5: Solve for x
    x = 18,410,260.38/4,866.64
  6. Step 6: Final answer
    x = 3,782.95

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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.