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Finding the Fourth Proportional to 9,605.68, 14,405.72 and 3,364.56

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Solution

The fourth proportional to 9,605.68, 14,405.72 and 3,364.56 is: 5,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.68 : 14,405.72 = 3,364.56 : x
  2. Step 2: Convert to fraction form
    9,605.68/14,405.72 = 3,364.56/x
  3. Step 3: Cross multiply
    9,605.68x = 14,405.72 × 3,364.56
  4. Step 4: Simplify right side
    9,605.68x = 48,468,909.28
  5. Step 5: Solve for x
    x = 48,468,909.28/9,605.68
  6. Step 6: Final answer
    x = 5,045.86

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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.