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Finding the Fourth Proportional to 9,846.60, 14,753.19 and 5,942.82

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Solution

The fourth proportional to 9,846.60, 14,753.19 and 5,942.82 is: 8,904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.60 : 14,753.19 = 5,942.82 : x
  2. Step 2: Convert to fraction form
    9,846.60/14,753.19 = 5,942.82/x
  3. Step 3: Cross multiply
    9,846.60x = 14,753.19 × 5,942.82
  4. Step 4: Simplify right side
    9,846.60x = 87,675,552.60
  5. Step 5: Solve for x
    x = 87,675,552.60/9,846.60
  6. Step 6: Final answer
    x = 8,904.14

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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.