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Finding the Fourth Proportional to 9,745.56, 14,588.08 and 7,881.04

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Solution

The fourth proportional to 9,745.56, 14,588.08 and 7,881.04 is: 11,797.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.56 : 14,588.08 = 7,881.04 : x
  2. Step 2: Convert to fraction form
    9,745.56/14,588.08 = 7,881.04/x
  3. Step 3: Cross multiply
    9,745.56x = 14,588.08 × 7,881.04
  4. Step 4: Simplify right side
    9,745.56x = 114,969,242.00
  5. Step 5: Solve for x
    x = 114,969,242.00/9,745.56
  6. Step 6: Final answer
    x = 11,797.09

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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.