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Finding the Fourth Proportional to 4,947.26, 7,415.42 and 4,362.84

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Solution

The fourth proportional to 4,947.26, 7,415.42 and 4,362.84 is: 6,539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.26 : 7,415.42 = 4,362.84 : x
  2. Step 2: Convert to fraction form
    4,947.26/7,415.42 = 4,362.84/x
  3. Step 3: Cross multiply
    4,947.26x = 7,415.42 × 4,362.84
  4. Step 4: Simplify right side
    4,947.26x = 32,352,269.18
  5. Step 5: Solve for x
    x = 32,352,269.18/4,947.26
  6. Step 6: Final answer
    x = 6,539.44

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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.