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Finding the Fourth Proportional to 19,977.20, 29,969.04 and 7,498.20

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Solution

The fourth proportional to 19,977.20, 29,969.04 and 7,498.20 is: 11,248.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977.20 : 29,969.04 = 7,498.20 : x
  2. Step 2: Convert to fraction form
    19,977.20/29,969.04 = 7,498.20/x
  3. Step 3: Cross multiply
    19,977.20x = 29,969.04 × 7,498.20
  4. Step 4: Simplify right side
    19,977.20x = 224,713,855.73
  5. Step 5: Solve for x
    x = 224,713,855.73/19,977.20
  6. Step 6: Final answer
    x = 11,248.52

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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.