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Finding the Fourth Proportional to 9,654.45, 14,486.64 and 7,313.67

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Solution

The fourth proportional to 9,654.45, 14,486.64 and 7,313.67 is: 10,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.45 : 14,486.64 = 7,313.67 : x
  2. Step 2: Convert to fraction form
    9,654.45/14,486.64 = 7,313.67/x
  3. Step 3: Cross multiply
    9,654.45x = 14,486.64 × 7,313.67
  4. Step 4: Simplify right side
    9,654.45x = 105,950,504.37
  5. Step 5: Solve for x
    x = 105,950,504.37/9,654.45
  6. Step 6: Final answer
    x = 10,974.27

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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.