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Finding the Fourth Proportional to 12,654.30, 17,464.14 and 7,348.80

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Solution

The fourth proportional to 12,654.30, 17,464.14 and 7,348.80 is: 10,142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.30 : 17,464.14 = 7,348.80 : x
  2. Step 2: Convert to fraction form
    12,654.30/17,464.14 = 7,348.80/x
  3. Step 3: Cross multiply
    12,654.30x = 17,464.14 × 7,348.80
  4. Step 4: Simplify right side
    12,654.30x = 128,340,472.03
  5. Step 5: Solve for x
    x = 128,340,472.03/12,654.30
  6. Step 6: Final answer
    x = 10,142.04

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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.