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Finding the Fourth Proportional to 12,641.17, 17,444.69 and 6,975.97

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Solution

The fourth proportional to 12,641.17, 17,444.69 and 6,975.97 is: 9,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.17 : 17,444.69 = 6,975.97 : x
  2. Step 2: Convert to fraction form
    12,641.17/17,444.69 = 6,975.97/x
  3. Step 3: Cross multiply
    12,641.17x = 17,444.69 × 6,975.97
  4. Step 4: Simplify right side
    12,641.17x = 121,693,634.10
  5. Step 5: Solve for x
    x = 121,693,634.10/12,641.17
  6. Step 6: Final answer
    x = 9,626.77

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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.