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Finding the Fourth Proportional to 13,038.70, 17,993.24 and 7,296.07

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Solution

The fourth proportional to 13,038.70, 17,993.24 and 7,296.07 is: 10,068.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.70 : 17,993.24 = 7,296.07 : x
  2. Step 2: Convert to fraction form
    13,038.70/17,993.24 = 7,296.07/x
  3. Step 3: Cross multiply
    13,038.70x = 17,993.24 × 7,296.07
  4. Step 4: Simplify right side
    13,038.70x = 131,279,812.12
  5. Step 5: Solve for x
    x = 131,279,812.12/13,038.70
  6. Step 6: Final answer
    x = 10,068.48

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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.