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Finding the Fourth Proportional to 6,357.24, 8,773.86 and 3,705.48

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Solution

The fourth proportional to 6,357.24, 8,773.86 and 3,705.48 is: 5,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.24 : 8,773.86 = 3,705.48 : x
  2. Step 2: Convert to fraction form
    6,357.24/8,773.86 = 3,705.48/x
  3. Step 3: Cross multiply
    6,357.24x = 8,773.86 × 3,705.48
  4. Step 4: Simplify right side
    6,357.24x = 32,511,362.75
  5. Step 5: Solve for x
    x = 32,511,362.75/6,357.24
  6. Step 6: Final answer
    x = 5,114.07

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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.