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Finding the Fourth Proportional to 6,966.03, 10,448.91 and 1,771.91

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Solution

The fourth proportional to 6,966.03, 10,448.91 and 1,771.91 is: 2,657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.03 : 10,448.91 = 1,771.91 : x
  2. Step 2: Convert to fraction form
    6,966.03/10,448.91 = 1,771.91/x
  3. Step 3: Cross multiply
    6,966.03x = 10,448.91 × 1,771.91
  4. Step 4: Simplify right side
    6,966.03x = 18,514,475.87
  5. Step 5: Solve for x
    x = 18,514,475.87/6,966.03
  6. Step 6: Final answer
    x = 2,657.82

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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.