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Finding the Fourth Proportional to 8,497.78, 11,727.26 and 4,721.23

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Solution

The fourth proportional to 8,497.78, 11,727.26 and 4,721.23 is: 6,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.78 : 11,727.26 = 4,721.23 : x
  2. Step 2: Convert to fraction form
    8,497.78/11,727.26 = 4,721.23/x
  3. Step 3: Cross multiply
    8,497.78x = 11,727.26 × 4,721.23
  4. Step 4: Simplify right side
    8,497.78x = 55,367,033.09
  5. Step 5: Solve for x
    x = 55,367,033.09/8,497.78
  6. Step 6: Final answer
    x = 6,515.47

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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.