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Finding the Fourth Proportional to 12,959.60, 17,884.43 and 7,654.40

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Solution

The fourth proportional to 12,959.60, 17,884.43 and 7,654.40 is: 10,563.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.60 : 17,884.43 = 7,654.40 : x
  2. Step 2: Convert to fraction form
    12,959.60/17,884.43 = 7,654.40/x
  3. Step 3: Cross multiply
    12,959.60x = 17,884.43 × 7,654.40
  4. Step 4: Simplify right side
    12,959.60x = 136,894,453.30
  5. Step 5: Solve for x
    x = 136,894,453.30/12,959.60
  6. Step 6: Final answer
    x = 10,563.17

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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.