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Finding the Fourth Proportional to 13,797.46, 19,040.40 and 7,509.82

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Solution

The fourth proportional to 13,797.46, 19,040.40 and 7,509.82 is: 10,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.46 : 19,040.40 = 7,509.82 : x
  2. Step 2: Convert to fraction form
    13,797.46/19,040.40 = 7,509.82/x
  3. Step 3: Cross multiply
    13,797.46x = 19,040.40 × 7,509.82
  4. Step 4: Simplify right side
    13,797.46x = 142,989,976.73
  5. Step 5: Solve for x
    x = 142,989,976.73/13,797.46
  6. Step 6: Final answer
    x = 10,363.50

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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.