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Finding the Fourth Proportional to 31,860.64, 47,792.82 and 9,674.74

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Solution

The fourth proportional to 31,860.64, 47,792.82 and 9,674.74 is: 14,512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,860.64 : 47,792.82 = 9,674.74 : x
  2. Step 2: Convert to fraction form
    31,860.64/47,792.82 = 9,674.74/x
  3. Step 3: Cross multiply
    31,860.64x = 47,792.82 × 9,674.74
  4. Step 4: Simplify right side
    31,860.64x = 462,383,107.37
  5. Step 5: Solve for x
    x = 462,383,107.37/31,860.64
  6. Step 6: Final answer
    x = 14,512.67

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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.