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Finding the Fourth Proportional to 12,434, 17,159.04 and 6,845.12

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Solution

The fourth proportional to 12,434, 17,159.04 and 6,845.12 is: 9,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434 : 17,159.04 = 6,845.12 : x
  2. Step 2: Convert to fraction form
    12,434/17,159.04 = 6,845.12/x
  3. Step 3: Cross multiply
    12,434x = 17,159.04 × 6,845.12
  4. Step 4: Simplify right side
    12,434x = 117,455,687.88
  5. Step 5: Solve for x
    x = 117,455,687.88/12,434
  6. Step 6: Final answer
    x = 9,446.33

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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.