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Finding the Fourth Proportional to 9,296.81, 12,841.04 and 6,949.43

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Solution

The fourth proportional to 9,296.81, 12,841.04 and 6,949.43 is: 9,598.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.81 : 12,841.04 = 6,949.43 : x
  2. Step 2: Convert to fraction form
    9,296.81/12,841.04 = 6,949.43/x
  3. Step 3: Cross multiply
    9,296.81x = 12,841.04 × 6,949.43
  4. Step 4: Simplify right side
    9,296.81x = 89,237,873.86
  5. Step 5: Solve for x
    x = 89,237,873.86/9,296.81
  6. Step 6: Final answer
    x = 9,598.76

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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.