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Finding the Fourth Proportional to 10,568.67, 14,584.14 and 5,852.67

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Solution

The fourth proportional to 10,568.67, 14,584.14 and 5,852.67 is: 8,076.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.67 : 14,584.14 = 5,852.67 : x
  2. Step 2: Convert to fraction form
    10,568.67/14,584.14 = 5,852.67/x
  3. Step 3: Cross multiply
    10,568.67x = 14,584.14 × 5,852.67
  4. Step 4: Simplify right side
    10,568.67x = 85,356,158.65
  5. Step 5: Solve for x
    x = 85,356,158.65/10,568.67
  6. Step 6: Final answer
    x = 8,076.34

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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.