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Finding the Fourth Proportional to 9,642.96, 14,454.72 and 4,099.92

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Solution

The fourth proportional to 9,642.96, 14,454.72 and 4,099.92 is: 6,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.96 : 14,454.72 = 4,099.92 : x
  2. Step 2: Convert to fraction form
    9,642.96/14,454.72 = 4,099.92/x
  3. Step 3: Cross multiply
    9,642.96x = 14,454.72 × 4,099.92
  4. Step 4: Simplify right side
    9,642.96x = 59,263,195.62
  5. Step 5: Solve for x
    x = 59,263,195.62/9,642.96
  6. Step 6: Final answer
    x = 6,145.75

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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.