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Finding the Fourth Proportional to 9,895.44, 14,847.54 and 5,214.30

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Solution

The fourth proportional to 9,895.44, 14,847.54 and 5,214.30 is: 7,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.44 : 14,847.54 = 5,214.30 : x
  2. Step 2: Convert to fraction form
    9,895.44/14,847.54 = 5,214.30/x
  3. Step 3: Cross multiply
    9,895.44x = 14,847.54 × 5,214.30
  4. Step 4: Simplify right side
    9,895.44x = 77,419,527.82
  5. Step 5: Solve for x
    x = 77,419,527.82/9,895.44
  6. Step 6: Final answer
    x = 7,823.76

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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.