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Finding the Fourth Proportional to 4,971.70, 6,850.13 and 3,712.26

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Solution

The fourth proportional to 4,971.70, 6,850.13 and 3,712.26 is: 5,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.70 : 6,850.13 = 3,712.26 : x
  2. Step 2: Convert to fraction form
    4,971.70/6,850.13 = 3,712.26/x
  3. Step 3: Cross multiply
    4,971.70x = 6,850.13 × 3,712.26
  4. Step 4: Simplify right side
    4,971.70x = 25,429,463.59
  5. Step 5: Solve for x
    x = 25,429,463.59/4,971.70
  6. Step 6: Final answer
    x = 5,114.84

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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.