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Finding the Fourth Proportional to 12,524.75, 17,284.16 and 6,935.75

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Solution

The fourth proportional to 12,524.75, 17,284.16 and 6,935.75 is: 9,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.75 : 17,284.16 = 6,935.75 : x
  2. Step 2: Convert to fraction form
    12,524.75/17,284.16 = 6,935.75/x
  3. Step 3: Cross multiply
    12,524.75x = 17,284.16 × 6,935.75
  4. Step 4: Simplify right side
    12,524.75x = 119,878,612.72
  5. Step 5: Solve for x
    x = 119,878,612.72/12,524.75
  6. Step 6: Final answer
    x = 9,571.34

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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.