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Finding the Fourth Proportional to 9,775.44, 13,472.02 and 6,942.94

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Solution

The fourth proportional to 9,775.44, 13,472.02 and 6,942.94 is: 9,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.44 : 13,472.02 = 6,942.94 : x
  2. Step 2: Convert to fraction form
    9,775.44/13,472.02 = 6,942.94/x
  3. Step 3: Cross multiply
    9,775.44x = 13,472.02 × 6,942.94
  4. Step 4: Simplify right side
    9,775.44x = 93,535,426.54
  5. Step 5: Solve for x
    x = 93,535,426.54/9,775.44
  6. Step 6: Final answer
    x = 9,568.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.