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Finding the Fourth Proportional to 12,468.96, 18,679.41 and 9,822.47

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Solution

The fourth proportional to 12,468.96, 18,679.41 and 9,822.47 is: 14,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.96 : 18,679.41 = 9,822.47 : x
  2. Step 2: Convert to fraction form
    12,468.96/18,679.41 = 9,822.47/x
  3. Step 3: Cross multiply
    12,468.96x = 18,679.41 × 9,822.47
  4. Step 4: Simplify right side
    12,468.96x = 183,477,850.95
  5. Step 5: Solve for x
    x = 183,477,850.95/12,468.96
  6. Step 6: Final answer
    x = 14,714.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.