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Finding the Fourth Proportional to 7,098.36, 9,794.76 and 4,113.72

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Solution

The fourth proportional to 7,098.36, 9,794.76 and 4,113.72 is: 5,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.36 : 9,794.76 = 4,113.72 : x
  2. Step 2: Convert to fraction form
    7,098.36/9,794.76 = 4,113.72/x
  3. Step 3: Cross multiply
    7,098.36x = 9,794.76 × 4,113.72
  4. Step 4: Simplify right side
    7,098.36x = 40,292,900.11
  5. Step 5: Solve for x
    x = 40,292,900.11/7,098.36
  6. Step 6: Final answer
    x = 5,676.37

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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.