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Finding the Fourth Proportional to 6,947.90, 9,592.58 and 6,200.58

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Solution

The fourth proportional to 6,947.90, 9,592.58 and 6,200.58 is: 8,560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.90 : 9,592.58 = 6,200.58 : x
  2. Step 2: Convert to fraction form
    6,947.90/9,592.58 = 6,200.58/x
  3. Step 3: Cross multiply
    6,947.90x = 9,592.58 × 6,200.58
  4. Step 4: Simplify right side
    6,947.90x = 59,479,559.70
  5. Step 5: Solve for x
    x = 59,479,559.70/6,947.90
  6. Step 6: Final answer
    x = 8,560.80

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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.