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Finding the Fourth Proportional to 9,596.91, 14,396.04 and 3,356.22

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Solution

The fourth proportional to 9,596.91, 14,396.04 and 3,356.22 is: 5,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.91 : 14,396.04 = 3,356.22 : x
  2. Step 2: Convert to fraction form
    9,596.91/14,396.04 = 3,356.22/x
  3. Step 3: Cross multiply
    9,596.91x = 14,396.04 × 3,356.22
  4. Step 4: Simplify right side
    9,596.91x = 48,316,277.37
  5. Step 5: Solve for x
    x = 48,316,277.37/9,596.91
  6. Step 6: Final answer
    x = 5,034.57

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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.