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Finding the Fourth Proportional to 13,259, 18,296.54 and 7,290.12

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Solution

The fourth proportional to 13,259, 18,296.54 and 7,290.12 is: 10,059.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,259 : 18,296.54 = 7,290.12 : x
  2. Step 2: Convert to fraction form
    13,259/18,296.54 = 7,290.12/x
  3. Step 3: Cross multiply
    13,259x = 18,296.54 × 7,290.12
  4. Step 4: Simplify right side
    13,259x = 133,383,972.18
  5. Step 5: Solve for x
    x = 133,383,972.18/13,259
  6. Step 6: Final answer
    x = 10,059.88

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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.