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Finding the Fourth Proportional to 8,297.10, 11,449.80 and 4,760.10

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Solution

The fourth proportional to 8,297.10, 11,449.80 and 4,760.10 is: 6,568.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.10 : 11,449.80 = 4,760.10 : x
  2. Step 2: Convert to fraction form
    8,297.10/11,449.80 = 4,760.10/x
  3. Step 3: Cross multiply
    8,297.10x = 11,449.80 × 4,760.10
  4. Step 4: Simplify right side
    8,297.10x = 54,502,192.98
  5. Step 5: Solve for x
    x = 54,502,192.98/8,297.10
  6. Step 6: Final answer
    x = 6,568.82

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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.