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Finding the Fourth Proportional to 12,916.70, 17,825.23 and 7,252.67

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Solution

The fourth proportional to 12,916.70, 17,825.23 and 7,252.67 is: 10,008.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.70 : 17,825.23 = 7,252.67 : x
  2. Step 2: Convert to fraction form
    12,916.70/17,825.23 = 7,252.67/x
  3. Step 3: Cross multiply
    12,916.70x = 17,825.23 × 7,252.67
  4. Step 4: Simplify right side
    12,916.70x = 129,280,564.49
  5. Step 5: Solve for x
    x = 129,280,564.49/12,916.70
  6. Step 6: Final answer
    x = 10,008.79

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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.