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Finding the Fourth Proportional to 12,283.74, 16,952.25 and 6,979.67

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Solution

The fourth proportional to 12,283.74, 16,952.25 and 6,979.67 is: 9,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.74 : 16,952.25 = 6,979.67 : x
  2. Step 2: Convert to fraction form
    12,283.74/16,952.25 = 6,979.67/x
  3. Step 3: Cross multiply
    12,283.74x = 16,952.25 × 6,979.67
  4. Step 4: Simplify right side
    12,283.74x = 118,321,026.00
  5. Step 5: Solve for x
    x = 118,321,026.00/12,283.74
  6. Step 6: Final answer
    x = 9,632.33

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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.