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Finding the Fourth Proportional to 9,730.77, 13,414.46 and 6,931.41

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Solution

The fourth proportional to 9,730.77, 13,414.46 and 6,931.41 is: 9,555.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.77 : 13,414.46 = 6,931.41 : x
  2. Step 2: Convert to fraction form
    9,730.77/13,414.46 = 6,931.41/x
  3. Step 3: Cross multiply
    9,730.77x = 13,414.46 × 6,931.41
  4. Step 4: Simplify right side
    9,730.77x = 92,981,076.22
  5. Step 5: Solve for x
    x = 92,981,076.22/9,730.77
  6. Step 6: Final answer
    x = 9,555.37

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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.