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Finding the Fourth Proportional to 8,297.70, 11,449.54 and 4,760.23

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Solution

The fourth proportional to 8,297.70, 11,449.54 and 4,760.23 is: 6,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.70 : 11,449.54 = 4,760.23 : x
  2. Step 2: Convert to fraction form
    8,297.70/11,449.54 = 4,760.23/x
  3. Step 3: Cross multiply
    8,297.70x = 11,449.54 × 4,760.23
  4. Step 4: Simplify right side
    8,297.70x = 54,502,403.69
  5. Step 5: Solve for x
    x = 54,502,403.69/8,297.70
  6. Step 6: Final answer
    x = 6,568.38

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Half scale
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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.