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Finding the Fourth Proportional to 9,105, 13,644.74 and 6,327.52

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Solution

The fourth proportional to 9,105, 13,644.74 and 6,327.52 is: 9,482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105 : 13,644.74 = 6,327.52 : x
  2. Step 2: Convert to fraction form
    9,105/13,644.74 = 6,327.52/x
  3. Step 3: Cross multiply
    9,105x = 13,644.74 × 6,327.52
  4. Step 4: Simplify right side
    9,105x = 86,337,365.24
  5. Step 5: Solve for x
    x = 86,337,365.24/9,105
  6. Step 6: Final answer
    x = 9,482.41

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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.