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Finding the Fourth Proportional to 6,970.92, 9,610.56 and 5,971.92

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Solution

The fourth proportional to 6,970.92, 9,610.56 and 5,971.92 is: 8,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.92 : 9,610.56 = 5,971.92 : x
  2. Step 2: Convert to fraction form
    6,970.92/9,610.56 = 5,971.92/x
  3. Step 3: Cross multiply
    6,970.92x = 9,610.56 × 5,971.92
  4. Step 4: Simplify right side
    6,970.92x = 57,393,495.48
  5. Step 5: Solve for x
    x = 57,393,495.48/6,970.92
  6. Step 6: Final answer
    x = 8,233.27

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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.