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Finding the Fourth Proportional to 9,794.64, 13,520.46 and 6,609.81

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Solution

The fourth proportional to 9,794.64, 13,520.46 and 6,609.81 is: 9,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.64 : 13,520.46 = 6,609.81 : x
  2. Step 2: Convert to fraction form
    9,794.64/13,520.46 = 6,609.81/x
  3. Step 3: Cross multiply
    9,794.64x = 13,520.46 × 6,609.81
  4. Step 4: Simplify right side
    9,794.64x = 89,367,671.71
  5. Step 5: Solve for x
    x = 89,367,671.71/9,794.64
  6. Step 6: Final answer
    x = 9,124.14

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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.