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Finding the Fourth Proportional to 4,966.21, 7,449.10 and 3,014.31

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Solution

The fourth proportional to 4,966.21, 7,449.10 and 3,014.31 is: 4,521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.21 : 7,449.10 = 3,014.31 : x
  2. Step 2: Convert to fraction form
    4,966.21/7,449.10 = 3,014.31/x
  3. Step 3: Cross multiply
    4,966.21x = 7,449.10 × 3,014.31
  4. Step 4: Simplify right side
    4,966.21x = 22,453,917.02
  5. Step 5: Solve for x
    x = 22,453,917.02/4,966.21
  6. Step 6: Final answer
    x = 4,521.34

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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.