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Finding the Fourth Proportional to 6,200.56, 9,289.12 and 4,807.08

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Solution

The fourth proportional to 6,200.56, 9,289.12 and 4,807.08 is: 7,201.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.56 : 9,289.12 = 4,807.08 : x
  2. Step 2: Convert to fraction form
    6,200.56/9,289.12 = 4,807.08/x
  3. Step 3: Cross multiply
    6,200.56x = 9,289.12 × 4,807.08
  4. Step 4: Simplify right side
    6,200.56x = 44,653,542.97
  5. Step 5: Solve for x
    x = 44,653,542.97/6,200.56
  6. Step 6: Final answer
    x = 7,201.53

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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.