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Finding the Fourth Proportional to 4,786.97, 6,597.86 and 4,109.81

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Solution

The fourth proportional to 4,786.97, 6,597.86 and 4,109.81 is: 5,664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.97 : 6,597.86 = 4,109.81 : x
  2. Step 2: Convert to fraction form
    4,786.97/6,597.86 = 4,109.81/x
  3. Step 3: Cross multiply
    4,786.97x = 6,597.86 × 4,109.81
  4. Step 4: Simplify right side
    4,786.97x = 27,115,897.47
  5. Step 5: Solve for x
    x = 27,115,897.47/4,786.97
  6. Step 6: Final answer
    x = 5,664.53

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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.