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Finding the Fourth Proportional to 9,524.65, 13,145.19 and 5,749.98

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Solution

The fourth proportional to 9,524.65, 13,145.19 and 5,749.98 is: 7,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.65 : 13,145.19 = 5,749.98 : x
  2. Step 2: Convert to fraction form
    9,524.65/13,145.19 = 5,749.98/x
  3. Step 3: Cross multiply
    9,524.65x = 13,145.19 × 5,749.98
  4. Step 4: Simplify right side
    9,524.65x = 75,584,513.87
  5. Step 5: Solve for x
    x = 75,584,513.87/9,524.65
  6. Step 6: Final answer
    x = 7,935.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.