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Finding the Fourth Proportional to 7,098.12, 9,794.97 and 4,113.72

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Solution

The fourth proportional to 7,098.12, 9,794.97 and 4,113.72 is: 5,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.12 : 9,794.97 = 4,113.72 : x
  2. Step 2: Convert to fraction form
    7,098.12/9,794.97 = 4,113.72/x
  3. Step 3: Cross multiply
    7,098.12x = 9,794.97 × 4,113.72
  4. Step 4: Simplify right side
    7,098.12x = 40,293,763.99
  5. Step 5: Solve for x
    x = 40,293,763.99/7,098.12
  6. Step 6: Final answer
    x = 5,676.68

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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.