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Finding the Fourth Proportional to 19,654.30, 29,460.38 and 9,772.30

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Solution

The fourth proportional to 19,654.30, 29,460.38 and 9,772.30 is: 14,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654.30 : 29,460.38 = 9,772.30 : x
  2. Step 2: Convert to fraction form
    19,654.30/29,460.38 = 9,772.30/x
  3. Step 3: Cross multiply
    19,654.30x = 29,460.38 × 9,772.30
  4. Step 4: Simplify right side
    19,654.30x = 287,895,671.47
  5. Step 5: Solve for x
    x = 287,895,671.47/19,654.30
  6. Step 6: Final answer
    x = 14,647.97

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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.