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Finding the Fourth Proportional to 7,971.01, 10,999.31 and 4,614.03

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Solution

The fourth proportional to 7,971.01, 10,999.31 and 4,614.03 is: 6,366.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.01 : 10,999.31 = 4,614.03 : x
  2. Step 2: Convert to fraction form
    7,971.01/10,999.31 = 4,614.03/x
  3. Step 3: Cross multiply
    7,971.01x = 10,999.31 × 4,614.03
  4. Step 4: Simplify right side
    7,971.01x = 50,751,140.55
  5. Step 5: Solve for x
    x = 50,751,140.55/7,971.01
  6. Step 6: Final answer
    x = 6,366.97

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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.