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Finding the Fourth Proportional to 9,486.54, 14,230.08 and 7,628.81

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Solution

The fourth proportional to 9,486.54, 14,230.08 and 7,628.81 is: 11,443.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.54 : 14,230.08 = 7,628.81 : x
  2. Step 2: Convert to fraction form
    9,486.54/14,230.08 = 7,628.81/x
  3. Step 3: Cross multiply
    9,486.54x = 14,230.08 × 7,628.81
  4. Step 4: Simplify right side
    9,486.54x = 108,558,505.45
  5. Step 5: Solve for x
    x = 108,558,505.45/9,486.54
  6. Step 6: Final answer
    x = 11,443.42

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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.