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Finding the Fourth Proportional to 6,971.92, 9,612.12 and 5,083.96

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Solution

The fourth proportional to 6,971.92, 9,612.12 and 5,083.96 is: 7,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.92 : 9,612.12 = 5,083.96 : x
  2. Step 2: Convert to fraction form
    6,971.92/9,612.12 = 5,083.96/x
  3. Step 3: Cross multiply
    6,971.92x = 9,612.12 × 5,083.96
  4. Step 4: Simplify right side
    6,971.92x = 48,867,633.60
  5. Step 5: Solve for x
    x = 48,867,633.60/6,971.92
  6. Step 6: Final answer
    x = 7,009.21

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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.