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Finding the Fourth Proportional to 7,066.83, 10,583.84 and 6,820.80

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Solution

The fourth proportional to 7,066.83, 10,583.84 and 6,820.80 is: 10,215.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.83 : 10,583.84 = 6,820.80 : x
  2. Step 2: Convert to fraction form
    7,066.83/10,583.84 = 6,820.80/x
  3. Step 3: Cross multiply
    7,066.83x = 10,583.84 × 6,820.80
  4. Step 4: Simplify right side
    7,066.83x = 72,190,255.87
  5. Step 5: Solve for x
    x = 72,190,255.87/7,066.83
  6. Step 6: Final answer
    x = 10,215.37

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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.