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Finding the Fourth Proportional to 13,000.10, 17,940.14 and 7,336.04

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Solution

The fourth proportional to 13,000.10, 17,940.14 and 7,336.04 is: 10,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.10 : 17,940.14 = 7,336.04 : x
  2. Step 2: Convert to fraction form
    13,000.10/17,940.14 = 7,336.04/x
  3. Step 3: Cross multiply
    13,000.10x = 17,940.14 × 7,336.04
  4. Step 4: Simplify right side
    13,000.10x = 131,609,592.82
  5. Step 5: Solve for x
    x = 131,609,592.82/13,000.10
  6. Step 6: Final answer
    x = 10,123.74

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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.