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Finding the Fourth Proportional to 5,971.43, 8,959.02 and 4,659.66

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Solution

The fourth proportional to 5,971.43, 8,959.02 and 4,659.66 is: 6,990.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.43 : 8,959.02 = 4,659.66 : x
  2. Step 2: Convert to fraction form
    5,971.43/8,959.02 = 4,659.66/x
  3. Step 3: Cross multiply
    5,971.43x = 8,959.02 × 4,659.66
  4. Step 4: Simplify right side
    5,971.43x = 41,745,969.66
  5. Step 5: Solve for x
    x = 41,745,969.66/5,971.43
  6. Step 6: Final answer
    x = 6,990.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.