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Finding the Fourth Proportional to 6,971.22, 9,557.91 and 6,846.48

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Solution

The fourth proportional to 6,971.22, 9,557.91 and 6,846.48 is: 9,386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.22 : 9,557.91 = 6,846.48 : x
  2. Step 2: Convert to fraction form
    6,971.22/9,557.91 = 6,846.48/x
  3. Step 3: Cross multiply
    6,971.22x = 9,557.91 × 6,846.48
  4. Step 4: Simplify right side
    6,971.22x = 65,438,039.66
  5. Step 5: Solve for x
    x = 65,438,039.66/6,971.22
  6. Step 6: Final answer
    x = 9,386.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.