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Finding the Fourth Proportional to 9,733.62, 13,438.84 and 7,491.54

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Solution

The fourth proportional to 9,733.62, 13,438.84 and 7,491.54 is: 10,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.62 : 13,438.84 = 7,491.54 : x
  2. Step 2: Convert to fraction form
    9,733.62/13,438.84 = 7,491.54/x
  3. Step 3: Cross multiply
    9,733.62x = 13,438.84 × 7,491.54
  4. Step 4: Simplify right side
    9,733.62x = 100,677,607.41
  5. Step 5: Solve for x
    x = 100,677,607.41/9,733.62
  6. Step 6: Final answer
    x = 10,343.29

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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.