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Finding the Fourth Proportional to 9,846.11, 14,752.45 and 5,942.31

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Solution

The fourth proportional to 9,846.11, 14,752.45 and 5,942.31 is: 8,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.11 : 14,752.45 = 5,942.31 : x
  2. Step 2: Convert to fraction form
    9,846.11/14,752.45 = 5,942.31/x
  3. Step 3: Cross multiply
    9,846.11x = 14,752.45 × 5,942.31
  4. Step 4: Simplify right side
    9,846.11x = 87,663,631.16
  5. Step 5: Solve for x
    x = 87,663,631.16/9,846.11
  6. Step 6: Final answer
    x = 8,903.38

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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.