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Finding the Fourth Proportional to 12,698.56, 17,523.04 and 7,108.80

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Solution

The fourth proportional to 12,698.56, 17,523.04 and 7,108.80 is: 9,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.56 : 17,523.04 = 7,108.80 : x
  2. Step 2: Convert to fraction form
    12,698.56/17,523.04 = 7,108.80/x
  3. Step 3: Cross multiply
    12,698.56x = 17,523.04 × 7,108.80
  4. Step 4: Simplify right side
    12,698.56x = 124,567,786.75
  5. Step 5: Solve for x
    x = 124,567,786.75/12,698.56
  6. Step 6: Final answer
    x = 9,809.60

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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.