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Finding the Fourth Proportional to 12,435.84, 17,161.47 and 6,846.84

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Solution

The fourth proportional to 12,435.84, 17,161.47 and 6,846.84 is: 9,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.84 : 17,161.47 = 6,846.84 : x
  2. Step 2: Convert to fraction form
    12,435.84/17,161.47 = 6,846.84/x
  3. Step 3: Cross multiply
    12,435.84x = 17,161.47 × 6,846.84
  4. Step 4: Simplify right side
    12,435.84x = 117,501,839.25
  5. Step 5: Solve for x
    x = 117,501,839.25/12,435.84
  6. Step 6: Final answer
    x = 9,448.65

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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.