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Finding the Fourth Proportional to 6,714.80, 10,072.20 and 5,629.40

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Solution

The fourth proportional to 6,714.80, 10,072.20 and 5,629.40 is: 8,444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.80 : 10,072.20 = 5,629.40 : x
  2. Step 2: Convert to fraction form
    6,714.80/10,072.20 = 5,629.40/x
  3. Step 3: Cross multiply
    6,714.80x = 10,072.20 × 5,629.40
  4. Step 4: Simplify right side
    6,714.80x = 56,700,442.68
  5. Step 5: Solve for x
    x = 56,700,442.68/6,714.80
  6. Step 6: Final answer
    x = 8,444.10

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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.