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Finding the Fourth Proportional to 9,589.92, 14,364.10 and 4,649.22

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Solution

The fourth proportional to 9,589.92, 14,364.10 and 4,649.22 is: 6,963.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.92 : 14,364.10 = 4,649.22 : x
  2. Step 2: Convert to fraction form
    9,589.92/14,364.10 = 4,649.22/x
  3. Step 3: Cross multiply
    9,589.92x = 14,364.10 × 4,649.22
  4. Step 4: Simplify right side
    9,589.92x = 66,781,861.00
  5. Step 5: Solve for x
    x = 66,781,861.00/9,589.92
  6. Step 6: Final answer
    x = 6,963.76

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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.