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Finding the Fourth Proportional to 17,000.46, 23,461.42 and 9,446.80

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Solution

The fourth proportional to 17,000.46, 23,461.42 and 9,446.80 is: 13,037.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,000.46 : 23,461.42 = 9,446.80 : x
  2. Step 2: Convert to fraction form
    17,000.46/23,461.42 = 9,446.80/x
  3. Step 3: Cross multiply
    17,000.46x = 23,461.42 × 9,446.80
  4. Step 4: Simplify right side
    17,000.46x = 221,635,342.46
  5. Step 5: Solve for x
    x = 221,635,342.46/17,000.46
  6. Step 6: Final answer
    x = 13,037.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.