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Finding the Fourth Proportional to 13,643.52, 18,825.21 and 7,977.16

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Solution

The fourth proportional to 13,643.52, 18,825.21 and 7,977.16 is: 11,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.52 : 18,825.21 = 7,977.16 : x
  2. Step 2: Convert to fraction form
    13,643.52/18,825.21 = 7,977.16/x
  3. Step 3: Cross multiply
    13,643.52x = 18,825.21 × 7,977.16
  4. Step 4: Simplify right side
    13,643.52x = 150,171,712.20
  5. Step 5: Solve for x
    x = 150,171,712.20/13,643.52
  6. Step 6: Final answer
    x = 11,006.82

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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.