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Finding the Fourth Proportional to 7,833.08, 11,668.22 and 7,408.67

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Solution

The fourth proportional to 7,833.08, 11,668.22 and 7,408.67 is: 11,036.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.08 : 11,668.22 = 7,408.67 : x
  2. Step 2: Convert to fraction form
    7,833.08/11,668.22 = 7,408.67/x
  3. Step 3: Cross multiply
    7,833.08x = 11,668.22 × 7,408.67
  4. Step 4: Simplify right side
    7,833.08x = 86,445,923.87
  5. Step 5: Solve for x
    x = 86,445,923.87/7,833.08
  6. Step 6: Final answer
    x = 11,036.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.