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Finding the Fourth Proportional to 6,800.56, 9,383.64 and 4,566.16

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Solution

The fourth proportional to 6,800.56, 9,383.64 and 4,566.16 is: 6,300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.56 : 9,383.64 = 4,566.16 : x
  2. Step 2: Convert to fraction form
    6,800.56/9,383.64 = 4,566.16/x
  3. Step 3: Cross multiply
    6,800.56x = 9,383.64 × 4,566.16
  4. Step 4: Simplify right side
    6,800.56x = 42,847,201.62
  5. Step 5: Solve for x
    x = 42,847,201.62/6,800.56
  6. Step 6: Final answer
    x = 6,300.54

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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.