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Finding the Fourth Proportional to 9,846.92, 14,770.38 and 3,607.76

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Solution

The fourth proportional to 9,846.92, 14,770.38 and 3,607.76 is: 5,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.92 : 14,770.38 = 3,607.76 : x
  2. Step 2: Convert to fraction form
    9,846.92/14,770.38 = 3,607.76/x
  3. Step 3: Cross multiply
    9,846.92x = 14,770.38 × 3,607.76
  4. Step 4: Simplify right side
    9,846.92x = 53,287,986.15
  5. Step 5: Solve for x
    x = 53,287,986.15/9,846.92
  6. Step 6: Final answer
    x = 5,411.64

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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.