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Finding the Fourth Proportional to 12,629.13, 17,428.74 and 7,040.13

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Solution

The fourth proportional to 12,629.13, 17,428.74 and 7,040.13 is: 9,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,629.13 : 17,428.74 = 7,040.13 : x
  2. Step 2: Convert to fraction form
    12,629.13/17,428.74 = 7,040.13/x
  3. Step 3: Cross multiply
    12,629.13x = 17,428.74 × 7,040.13
  4. Step 4: Simplify right side
    12,629.13x = 122,700,472.99
  5. Step 5: Solve for x
    x = 122,700,472.99/12,629.13
  6. Step 6: Final answer
    x = 9,715.67

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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.