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Finding the Fourth Proportional to 13,440.24, 18,549 and 7,698.24

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Solution

The fourth proportional to 13,440.24, 18,549 and 7,698.24 is: 10,624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440.24 : 18,549 = 7,698.24 : x
  2. Step 2: Convert to fraction form
    13,440.24/18,549 = 7,698.24/x
  3. Step 3: Cross multiply
    13,440.24x = 18,549 × 7,698.24
  4. Step 4: Simplify right side
    13,440.24x = 142,794,653.76
  5. Step 5: Solve for x
    x = 142,794,653.76/13,440.24
  6. Step 6: Final answer
    x = 10,624.41

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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.