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Finding the Fourth Proportional to 6,714.72, 10,022.79 and 6,219.91

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Solution

The fourth proportional to 6,714.72, 10,022.79 and 6,219.91 is: 9,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.72 : 10,022.79 = 6,219.91 : x
  2. Step 2: Convert to fraction form
    6,714.72/10,022.79 = 6,219.91/x
  3. Step 3: Cross multiply
    6,714.72x = 10,022.79 × 6,219.91
  4. Step 4: Simplify right side
    6,714.72x = 62,340,920.16
  5. Step 5: Solve for x
    x = 62,340,920.16/6,714.72
  6. Step 6: Final answer
    x = 9,284.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.