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Finding the Fourth Proportional to 13,098.88, 18,076.08 and 7,433.47

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Solution

The fourth proportional to 13,098.88, 18,076.08 and 7,433.47 is: 10,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.88 : 18,076.08 = 7,433.47 : x
  2. Step 2: Convert to fraction form
    13,098.88/18,076.08 = 7,433.47/x
  3. Step 3: Cross multiply
    13,098.88x = 18,076.08 × 7,433.47
  4. Step 4: Simplify right side
    13,098.88x = 134,367,998.40
  5. Step 5: Solve for x
    x = 134,367,998.40/13,098.88
  6. Step 6: Final answer
    x = 10,257.98

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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.