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Finding the Fourth Proportional to 18,646.20, 27,969.30 and 9,898.20

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Solution

The fourth proportional to 18,646.20, 27,969.30 and 9,898.20 is: 14,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.20 : 27,969.30 = 9,898.20 : x
  2. Step 2: Convert to fraction form
    18,646.20/27,969.30 = 9,898.20/x
  3. Step 3: Cross multiply
    18,646.20x = 27,969.30 × 9,898.20
  4. Step 4: Simplify right side
    18,646.20x = 276,845,725.26
  5. Step 5: Solve for x
    x = 276,845,725.26/18,646.20
  6. Step 6: Final answer
    x = 14,847.30

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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.