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Finding the Fourth Proportional to 9,188.00, 13,782.09 and 2,614.17

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Solution

The fourth proportional to 9,188.00, 13,782.09 and 2,614.17 is: 3,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.00 : 13,782.09 = 2,614.17 : x
  2. Step 2: Convert to fraction form
    9,188.00/13,782.09 = 2,614.17/x
  3. Step 3: Cross multiply
    9,188.00x = 13,782.09 × 2,614.17
  4. Step 4: Simplify right side
    9,188.00x = 36,028,726.22
  5. Step 5: Solve for x
    x = 36,028,726.22/9,188.00
  6. Step 6: Final answer
    x = 3,921.28

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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.