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Finding the Fourth Proportional to 6,722.70, 10,084.35 and 2,564.70

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Solution

The fourth proportional to 6,722.70, 10,084.35 and 2,564.70 is: 3,847.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.70 : 10,084.35 = 2,564.70 : x
  2. Step 2: Convert to fraction form
    6,722.70/10,084.35 = 2,564.70/x
  3. Step 3: Cross multiply
    6,722.70x = 10,084.35 × 2,564.70
  4. Step 4: Simplify right side
    6,722.70x = 25,863,332.45
  5. Step 5: Solve for x
    x = 25,863,332.45/6,722.70
  6. Step 6: Final answer
    x = 3,847.16

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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.