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Finding the Fourth Proportional to 12,698.63, 17,523.81 and 7,033.16

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Solution

The fourth proportional to 12,698.63, 17,523.81 and 7,033.16 is: 9,705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.63 : 17,523.81 = 7,033.16 : x
  2. Step 2: Convert to fraction form
    12,698.63/17,523.81 = 7,033.16/x
  3. Step 3: Cross multiply
    12,698.63x = 17,523.81 × 7,033.16
  4. Step 4: Simplify right side
    12,698.63x = 123,247,671.92
  5. Step 5: Solve for x
    x = 123,247,671.92/12,698.63
  6. Step 6: Final answer
    x = 9,705.59

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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.