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Finding the Fourth Proportional to 9,462.84, 14,194.21 and 5,302.86

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Solution

The fourth proportional to 9,462.84, 14,194.21 and 5,302.86 is: 7,954.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.84 : 14,194.21 = 5,302.86 : x
  2. Step 2: Convert to fraction form
    9,462.84/14,194.21 = 5,302.86/x
  3. Step 3: Cross multiply
    9,462.84x = 14,194.21 × 5,302.86
  4. Step 4: Simplify right side
    9,462.84x = 75,269,908.44
  5. Step 5: Solve for x
    x = 75,269,908.44/9,462.84
  6. Step 6: Final answer
    x = 7,954.26

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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.