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Finding the Fourth Proportional to 12,608.49, 17,400.12 and 6,943.65

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Solution

The fourth proportional to 12,608.49, 17,400.12 and 6,943.65 is: 9,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,608.49 : 17,400.12 = 6,943.65 : x
  2. Step 2: Convert to fraction form
    12,608.49/17,400.12 = 6,943.65/x
  3. Step 3: Cross multiply
    12,608.49x = 17,400.12 × 6,943.65
  4. Step 4: Simplify right side
    12,608.49x = 120,820,343.24
  5. Step 5: Solve for x
    x = 120,820,343.24/12,608.49
  6. Step 6: Final answer
    x = 9,582.46

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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.