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Finding the Fourth Proportional to 7,959.34, 10,983.81 and 4,422.48

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Solution

The fourth proportional to 7,959.34, 10,983.81 and 4,422.48 is: 6,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.34 : 10,983.81 = 4,422.48 : x
  2. Step 2: Convert to fraction form
    7,959.34/10,983.81 = 4,422.48/x
  3. Step 3: Cross multiply
    7,959.34x = 10,983.81 × 4,422.48
  4. Step 4: Simplify right side
    7,959.34x = 48,575,680.05
  5. Step 5: Solve for x
    x = 48,575,680.05/7,959.34
  6. Step 6: Final answer
    x = 6,102.98

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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.