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Finding the Fourth Proportional to 9,596.37, 14,393.80 and 3,022.62

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Solution

The fourth proportional to 9,596.37, 14,393.80 and 3,022.62 is: 4,533.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.37 : 14,393.80 = 3,022.62 : x
  2. Step 2: Convert to fraction form
    9,596.37/14,393.80 = 3,022.62/x
  3. Step 3: Cross multiply
    9,596.37x = 14,393.80 × 3,022.62
  4. Step 4: Simplify right side
    9,596.37x = 43,506,937.56
  5. Step 5: Solve for x
    x = 43,506,937.56/9,596.37
  6. Step 6: Final answer
    x = 4,533.69

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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.