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Finding the Fourth Proportional to 7,107.99, 10,661.49 and 2,946.44

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Solution

The fourth proportional to 7,107.99, 10,661.49 and 2,946.44 is: 4,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.99 : 10,661.49 = 2,946.44 : x
  2. Step 2: Convert to fraction form
    7,107.99/10,661.49 = 2,946.44/x
  3. Step 3: Cross multiply
    7,107.99x = 10,661.49 × 2,946.44
  4. Step 4: Simplify right side
    7,107.99x = 31,413,387.29
  5. Step 5: Solve for x
    x = 31,413,387.29/7,107.99
  6. Step 6: Final answer
    x = 4,419.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.