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Finding the Fourth Proportional to 9,599.56, 14,380.71 and 5,890.84

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Solution

The fourth proportional to 9,599.56, 14,380.71 and 5,890.84 is: 8,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.56 : 14,380.71 = 5,890.84 : x
  2. Step 2: Convert to fraction form
    9,599.56/14,380.71 = 5,890.84/x
  3. Step 3: Cross multiply
    9,599.56x = 14,380.71 × 5,890.84
  4. Step 4: Simplify right side
    9,599.56x = 84,714,461.70
  5. Step 5: Solve for x
    x = 84,714,461.70/9,599.56
  6. Step 6: Final answer
    x = 8,824.83

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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.