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Finding the Fourth Proportional to 8,510.57, 12,757.08 and 6,164.67

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Solution

The fourth proportional to 8,510.57, 12,757.08 and 6,164.67 is: 9,240.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.57 : 12,757.08 = 6,164.67 : x
  2. Step 2: Convert to fraction form
    8,510.57/12,757.08 = 6,164.67/x
  3. Step 3: Cross multiply
    8,510.57x = 12,757.08 × 6,164.67
  4. Step 4: Simplify right side
    8,510.57x = 78,643,188.36
  5. Step 5: Solve for x
    x = 78,643,188.36/8,510.57
  6. Step 6: Final answer
    x = 9,240.65

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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.