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Finding the Fourth Proportional to 12,287.10, 16,956.79 and 6,911.22

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Solution

The fourth proportional to 12,287.10, 16,956.79 and 6,911.22 is: 9,537.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.10 : 16,956.79 = 6,911.22 : x
  2. Step 2: Convert to fraction form
    12,287.10/16,956.79 = 6,911.22/x
  3. Step 3: Cross multiply
    12,287.10x = 16,956.79 × 6,911.22
  4. Step 4: Simplify right side
    12,287.10x = 117,192,106.18
  5. Step 5: Solve for x
    x = 117,192,106.18/12,287.10
  6. Step 6: Final answer
    x = 9,537.82

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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.