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Finding the Fourth Proportional to 9,739.60, 14,575.80 and 5,846.80

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Solution

The fourth proportional to 9,739.60, 14,575.80 and 5,846.80 is: 8,750.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.60 : 14,575.80 = 5,846.80 : x
  2. Step 2: Convert to fraction form
    9,739.60/14,575.80 = 5,846.80/x
  3. Step 3: Cross multiply
    9,739.60x = 14,575.80 × 5,846.80
  4. Step 4: Simplify right side
    9,739.60x = 85,221,787.44
  5. Step 5: Solve for x
    x = 85,221,787.44/9,739.60
  6. Step 6: Final answer
    x = 8,750.03

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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.