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Finding the Fourth Proportional to 12,287.13, 16,956.23 and 6,698.13

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Solution

The fourth proportional to 12,287.13, 16,956.23 and 6,698.13 is: 9,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.13 : 16,956.23 = 6,698.13 : x
  2. Step 2: Convert to fraction form
    12,287.13/16,956.23 = 6,698.13/x
  3. Step 3: Cross multiply
    12,287.13x = 16,956.23 × 6,698.13
  4. Step 4: Simplify right side
    12,287.13x = 113,575,032.85
  5. Step 5: Solve for x
    x = 113,575,032.85/12,287.13
  6. Step 6: Final answer
    x = 9,243.41

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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.