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Finding the Fourth Proportional to 12,300.26, 16,974.26 and 6,995.07

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Solution

The fourth proportional to 12,300.26, 16,974.26 and 6,995.07 is: 9,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,300.26 : 16,974.26 = 6,995.07 : x
  2. Step 2: Convert to fraction form
    12,300.26/16,974.26 = 6,995.07/x
  3. Step 3: Cross multiply
    12,300.26x = 16,974.26 × 6,995.07
  4. Step 4: Simplify right side
    12,300.26x = 118,736,101.92
  5. Step 5: Solve for x
    x = 118,736,101.92/12,300.26
  6. Step 6: Final answer
    x = 9,653.14

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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.