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Finding the Fourth Proportional to 9,614.01, 14,410.94 and 5,391.07

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Solution

The fourth proportional to 9,614.01, 14,410.94 and 5,391.07 is: 8,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.01 : 14,410.94 = 5,391.07 : x
  2. Step 2: Convert to fraction form
    9,614.01/14,410.94 = 5,391.07/x
  3. Step 3: Cross multiply
    9,614.01x = 14,410.94 × 5,391.07
  4. Step 4: Simplify right side
    9,614.01x = 77,690,431.37
  5. Step 5: Solve for x
    x = 77,690,431.37/9,614.01
  6. Step 6: Final answer
    x = 8,080.96

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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.