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Finding the Fourth Proportional to 7,958.04, 10,971.75 and 5,120.34

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Solution

The fourth proportional to 7,958.04, 10,971.75 and 5,120.34 is: 7,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.04 : 10,971.75 = 5,120.34 : x
  2. Step 2: Convert to fraction form
    7,958.04/10,971.75 = 5,120.34/x
  3. Step 3: Cross multiply
    7,958.04x = 10,971.75 × 5,120.34
  4. Step 4: Simplify right side
    7,958.04x = 56,179,090.40
  5. Step 5: Solve for x
    x = 56,179,090.40/7,958.04
  6. Step 6: Final answer
    x = 7,059.41

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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.