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Finding the Fourth Proportional to 12,663.20, 18,978.60 and 9,196.40

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Solution

The fourth proportional to 12,663.20, 18,978.60 and 9,196.40 is: 13,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.20 : 18,978.60 = 9,196.40 : x
  2. Step 2: Convert to fraction form
    12,663.20/18,978.60 = 9,196.40/x
  3. Step 3: Cross multiply
    12,663.20x = 18,978.60 × 9,196.40
  4. Step 4: Simplify right side
    12,663.20x = 174,534,797.04
  5. Step 5: Solve for x
    x = 174,534,797.04/12,663.20
  6. Step 6: Final answer
    x = 13,782.84

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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.