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Finding the Fourth Proportional to 8,305.85, 12,404.94 and 7,524.29

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Solution

The fourth proportional to 8,305.85, 12,404.94 and 7,524.29 is: 11,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.85 : 12,404.94 = 7,524.29 : x
  2. Step 2: Convert to fraction form
    8,305.85/12,404.94 = 7,524.29/x
  3. Step 3: Cross multiply
    8,305.85x = 12,404.94 × 7,524.29
  4. Step 4: Simplify right side
    8,305.85x = 93,338,303.97
  5. Step 5: Solve for x
    x = 93,338,303.97/8,305.85
  6. Step 6: Final answer
    x = 11,237.67

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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.