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Finding the Fourth Proportional to 9,592.60, 14,379 and 5,200.78

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Solution

The fourth proportional to 9,592.60, 14,379 and 5,200.78 is: 7,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.60 : 14,379 = 5,200.78 : x
  2. Step 2: Convert to fraction form
    9,592.60/14,379 = 5,200.78/x
  3. Step 3: Cross multiply
    9,592.60x = 14,379 × 5,200.78
  4. Step 4: Simplify right side
    9,592.60x = 74,782,015.62
  5. Step 5: Solve for x
    x = 74,782,015.62/9,592.60
  6. Step 6: Final answer
    x = 7,795.80

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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.