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Finding the Fourth Proportional to 12,014.74, 16,576.68 and 7,538.38

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Solution

The fourth proportional to 12,014.74, 16,576.68 and 7,538.38 is: 10,400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.74 : 16,576.68 = 7,538.38 : x
  2. Step 2: Convert to fraction form
    12,014.74/16,576.68 = 7,538.38/x
  3. Step 3: Cross multiply
    12,014.74x = 16,576.68 × 7,538.38
  4. Step 4: Simplify right side
    12,014.74x = 124,961,299.81
  5. Step 5: Solve for x
    x = 124,961,299.81/12,014.74
  6. Step 6: Final answer
    x = 10,400.67

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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.