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Finding the Fourth Proportional to 9,461.92, 14,178.28 and 5,991.88

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Solution

The fourth proportional to 9,461.92, 14,178.28 and 5,991.88 is: 8,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.92 : 14,178.28 = 5,991.88 : x
  2. Step 2: Convert to fraction form
    9,461.92/14,178.28 = 5,991.88/x
  3. Step 3: Cross multiply
    9,461.92x = 14,178.28 × 5,991.88
  4. Step 4: Simplify right side
    9,461.92x = 84,954,552.37
  5. Step 5: Solve for x
    x = 84,954,552.37/9,461.92
  6. Step 6: Final answer
    x = 8,978.57

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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.