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Finding the Fourth Proportional to 19,841.79, 29,748.09 and 9,460.83

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Solution

The fourth proportional to 19,841.79, 29,748.09 and 9,460.83 is: 14,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,841.79 : 29,748.09 = 9,460.83 : x
  2. Step 2: Convert to fraction form
    19,841.79/29,748.09 = 9,460.83/x
  3. Step 3: Cross multiply
    19,841.79x = 29,748.09 × 9,460.83
  4. Step 4: Simplify right side
    19,841.79x = 281,441,622.31
  5. Step 5: Solve for x
    x = 281,441,622.31/19,841.79
  6. Step 6: Final answer
    x = 14,184.29

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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.