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Finding the Fourth Proportional to 6,559.92, 9,025.56 and 4,978.80

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Solution

The fourth proportional to 6,559.92, 9,025.56 and 4,978.80 is: 6,850.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.92 : 9,025.56 = 4,978.80 : x
  2. Step 2: Convert to fraction form
    6,559.92/9,025.56 = 4,978.80/x
  3. Step 3: Cross multiply
    6,559.92x = 9,025.56 × 4,978.80
  4. Step 4: Simplify right side
    6,559.92x = 44,936,458.13
  5. Step 5: Solve for x
    x = 44,936,458.13/6,559.92
  6. Step 6: Final answer
    x = 6,850.15

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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.