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Finding the Fourth Proportional to 12,006.52, 16,568.92 and 6,701

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Solution

The fourth proportional to 12,006.52, 16,568.92 and 6,701 is: 9,247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.52 : 16,568.92 = 6,701 : x
  2. Step 2: Convert to fraction form
    12,006.52/16,568.92 = 6,701/x
  3. Step 3: Cross multiply
    12,006.52x = 16,568.92 × 6,701
  4. Step 4: Simplify right side
    12,006.52x = 111,028,332.92
  5. Step 5: Solve for x
    x = 111,028,332.92/12,006.52
  6. Step 6: Final answer
    x = 9,247.34

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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.